A pair of unlike parallel forces having different lines of force produce:
Solution:
A pair of unlike parallel forces having different lines of force produce a couple. A couple consists of two equal and opposite forces that are not colinear, resulting in a turning effect.
Head to tail rule can be used to add...........forces.
Solution:
The head-to-tail rule can be used to add any number of forces. This method involves placing the tail of the next force at the head of the previous one to find the resultant force.
A force of 15 N makes an angle of 60° with the horizontal. Its vertical component will be:
Solution:
The vertical component of a force \( F \) at an angle \( \theta \) with the horizontal is given by \( F \sin \theta \). Therefore, the vertical component is \( 15 \sin 60° = 15 \times \frac{\sqrt{3}}{2} \approx 13 \, \text{N} \).
A body is in equilibrium when it has:
Solution:
A body is in equilibrium when it has zero acceleration. This means the net force and net torque acting on the body must be zero.
A body is in stable equilibrium after slight tilt if its center of gravity:
Solution:
A body is in stable equilibrium after a slight tilt if its center of gravity is at the lowest position. This ensures that any displacement raises the center of gravity, causing the body to return to its original position.
A body is in unstable equilibrium after slight tilt if its center of gravity:
Solution:
A body is in unstable equilibrium after a slight tilt if its center of gravity remains above the point of contact. This makes the body more likely to topple over.
A body is in neutral equilibrium when its center of gravity:
Solution:
A body is in neutral equilibrium when its center of gravity remains at the same height. This means the body will stay in equilibrium regardless of its position.
Bunsen burner is made stable by:
Solution:
A Bunsen burner is made stable by increasing its base area. A larger base area lowers the center of gravity and increases stability.
A tightrope walker carries a long pole to:
Solution:
A tightrope walker carries a long pole to keep his center of gravity in a fixed position. This helps maintain balance and stability while walking on the tightrope.
Stability of a racing car is increased by:
Solution:
The stability of a racing car is increased by lowering its center of gravity. A lower center of gravity makes the car less likely to roll over during sharp turns.
Parallel forces acting in the same direction are termed:
Solution:
Parallel forces acting in the same direction are termed like parallel forces. These forces can be combined to find a resultant force.
What defines unlike parallel forces?
Solution:
Unlike parallel forces are defined as parallel forces with opposite directions. These forces can create a couple, resulting in a turning effect.
The resultant of forces refers to:
Solution:
The resultant of forces refers to the sum of all forces acting on a body. This resultant force represents the combined effect of all individual forces.
Which method is used for graphical addition of forces?
Solution:
The head-to-tail rule is used for the graphical addition of forces. This method involves placing the tail of the next force at the head of the previous one to find the resultant force.
Splitting a force into two perpendicular components is called:
Solution:
Splitting a force into two perpendicular components is called the resolution of force. This process helps in analyzing the effects of a force in different directions.
The horizontal component of a force \( F \) at angle \( \theta \) is:
Solution:
The horizontal component of a force \( F \) at an angle \( \theta \) is given by \( F \cos \theta \). This component represents the part of the force acting along the horizontal axis.
The formula \( F = \sqrt{F_x^2 + F_y^2} \) calculates:
Solution:
The formula \( F = \sqrt{F_x^2 + F_y^2} \) calculates the magnitude of the resultant force. This formula is derived from the Pythagorean theorem.
Torque is defined as:
Solution:
Torque is defined as the product of force and moment arm. Torque measures the turning effect of a force around a pivot point.
The center of gravity is the point where:
Solution:
The center of gravity is the point where the entire weight of the body acts vertically downward. This point is crucial for analyzing the stability and equilibrium of a body.
A couple consists of:
Solution:
A couple consists of two equal and opposite forces with different lines of action. This configuration results in a pure rotational effect without any translational motion.
First condition for equilibrium requires:
Solution:
The first condition for equilibrium requires the net force to be zero. This ensures that the body has no linear acceleration.
The second condition for equilibrium involves:
Solution:
The second condition for equilibrium involves the net torque being zero. This ensures that the body has no angular acceleration.
Unstable equilibrium is characterized by a body:
Solution:
Unstable equilibrium is characterized by a body not returning to its original position after a tilt. This occurs when the center of gravity is raised after the tilt.
Neutral equilibrium implies a body:
Solution:
Neutral equilibrium implies a body stays in equilibrium at its new position after disturbance. This occurs when the center of gravity remains at the same height.
When do unlike parallel forces form a couple?
Solution:
Unlike parallel forces form a couple when they are non-colinear, meaning they do not act along the same line. This configuration results in a pure rotational effect.
What is the primary effect of a couple?
Solution:
The primary effect of a couple is that it creates rotational motion. A couple consists of two equal and opposite forces that are not colinear, resulting in a turning effect.
Which statement about unlike parallel forces is TRUE?
Solution:
The true statement about unlike parallel forces is that they form a couple if they act on different lines. This configuration results in a pure rotational effect.
What is the unit of force?
Solution:
The unit of force is the Newton (N). Force is a vector quantity that has both magnitude and direction.
Which property applies to force?
Solution:
The property that applies to force is that it has both magnitude and direction. Force is a vector quantity.
The single force equivalent to the combined effect of multiple forces is called:
Solution:
The single force equivalent to the combined effect of multiple forces is called the resultant force. This force represents the overall effect of all individual forces acting on a body.
What is the process of splitting a vector into two mutually perpendicular components called?
Solution:
The process of splitting a vector into two mutually perpendicular components is called the resolution of vectors. This process helps in analyzing the effects of a vector in different directions.
The horizontal component \( F_x \) of a force \( F \) making angle \( \theta \) with the x-axis is:
Solution:
The horizontal component \( F_x \) of a force \( F \) making an angle \( \theta \) with the x-axis is given by \( F \cos \theta \). This component represents the part of the force acting along the horizontal axis.
A 300 N force acts at 60° with the ground. What is its vertical component?
Solution:
The vertical component of a force \( F \) at an angle \( \theta \) with the ground is given by \( F \sin \theta \). Therefore, the vertical component is \( 300 \sin 60° = 300 \times \frac{\sqrt{3}}{2} \approx 259.8 \, \text{N} \).
The direction \( \theta \) of a force with the x-axis is determined using:
Solution:
The direction \( \theta \) of a force with the x-axis is determined using \( \tan^{-1}(F_y / F_x) \). This formula gives the angle between the force and the horizontal axis.
What is the reverse process of resolving a force into components called?
Solution:
The reverse process of resolving a force into components is called composition. This process involves combining the components to find the resultant force.
The magnitude of the resultant force is calculated using:
Solution:
The magnitude of the resultant force is calculated using the Pythagorean theorem. The formula is \( F = \sqrt{F_x^2 + F_y^2} \).
In resolution, the components of a force are always:
Solution:
In resolution, the components of a force are always perpendicular. This helps in analyzing the effects of the force in different directions.
Which formula represents the relationship between \( F \), \( F_x \), and \( F_y \)?
Solution:
The formula that represents the relationship between \( F \), \( F_x \), and \( F_y \) is \( F = \sqrt{F_x^2 + F_y^2} \). This formula is derived from the Pythagorean theorem.
What is the turning effect of force called?
Solution:
The turning effect of force is called torque. Torque measures the rotational effect of a force around a pivot point.
Torque depends on which TWO factors?
Solution:
Torque depends on two factors: force and distance. The formula for torque is \( T = F \times d \), where \( F \) is the force and \( d \) is the moment arm.
What is the formula for torque?
Solution:
The formula for torque is \( T = F \times d \), where \( F \) is the force and \( d \) is the moment arm. This formula measures the turning effect of a force.
What is the SI unit of torque?
Solution:
The SI unit of torque is the Newton-metre (Nm). Torque is a measure of the turning effect of a force.
A mechanic uses a 0.5 m spanner with a 100 N force. What is the torque?
Solution:
The torque is calculated using the formula \( T = F \times d \). Therefore, the torque is \( 100 \, \text{N} \times 0.5 \, \text{m} = 50 \, \text{Nm} \).
What torque is produced by a 150 N force applied 0.4 m from a pivot?
Solution:
The torque is calculated using the formula \( T = F \times d \). Therefore, the torque is \( 150 \, \text{N} \times 0.4 \, \text{m} = 60 \, \text{Nm} \).
What principle states that the sum of clockwise moments equals the sum of anticlockwise moments?
Solution:
The Principle of Moments states that the sum of clockwise moments equals the sum of anticlockwise moments. This principle is crucial for analyzing the equilibrium of a body.
If the clockwise and anticlockwise moments on a see-saw are unbalanced, what happens?
Solution:
If the clockwise and anticlockwise moments on a see-saw are unbalanced, the see-saw swings. This occurs because the net torque is not zero, causing rotational motion.
What is the center of mass or center of gravity of a body?
Solution:
The center of mass or center of gravity of a body is a point where the entire mass of the body is concentrated. This point is crucial for analyzing the stability and equilibrium of a body.
The center of gravity of a uniform metre rod is located at:
Solution:
The center of gravity of a uniform metre rod is located at the midpoint. This is because the mass is evenly distributed along the length of the rod.
For a uniform rectangular sheet, the center of gravity lies at:
Solution:
For a uniform rectangular sheet, the center of gravity lies at the intersection of its diagonals. This point is the geometric center of the sheet.
The center of gravity of a uniform circular ring is:
Solution:
The center of gravity of a uniform circular ring is at its geometric center. This is because the mass is evenly distributed around the ring.
A couple is defined as:
Solution:
A couple is defined as two equal, opposite, parallel forces separated by a distance. This configuration results in a pure rotational effect without any translational motion.
Which condition is NOT necessary for a couple?
Solution:
The condition that is NOT necessary for a couple is perpendicular orientation. A couple consists of two equal, opposite, parallel forces separated by a distance.
What effect does a couple have on an object?
Solution:
A couple produces rotation without acceleration. This is because the net force is zero, but the net torque is not zero, resulting in a pure rotational effect.
Which real-life example demonstrates a couple?
Solution:
A real-life example that demonstrates a couple is turning a car’s steering wheel. This action involves two equal and opposite forces applied at different points, resulting in a turning effect.
Why doesn’t a couple cause linear motion?
Solution:
A couple does not cause linear motion because the net force is zero, but torque exists. This results in a pure rotational effect without any translational motion.
A body is in equilibrium when it has:
Solution:
A body is in equilibrium when it has zero acceleration. This means the net force and net torque acting on the body must be zero.
Which is an example of static equilibrium?
Solution:
An example of static equilibrium is a clock hanging on a wall. In static equilibrium, the body is at rest and the net force and net torque acting on it are zero.
Dynamic equilibrium refers to a body that is:
Solution:
Dynamic equilibrium refers to a body that is moving without acceleration. In dynamic equilibrium, the body is in motion, but the net force and net torque acting on it are zero.
The first condition for equilibrium states:
Solution:
The first condition for equilibrium states that the sum of all forces (ΣF) must be zero. This ensures that the body has no linear acceleration.
The second condition for equilibrium ensures:
Solution:
The second condition for equilibrium ensures that there is no angular acceleration. This is achieved when the sum of all torques (Στ) is zero.
A body in stable equilibrium, when tilted, will:
Solution:
A body in stable equilibrium, when tilted, will return to its original position. This occurs because the center of gravity is raised after the tilt, causing the body to return to its original position.
Neutral equilibrium occurs when a displaced body:
Solution:
Neutral equilibrium occurs when a displaced body maintains the same center of gravity height. This means the body will stay in equilibrium regardless of its position.
A paratrooper moving at terminal velocity satisfies:
Solution:
A paratrooper moving at terminal velocity satisfies only dynamic equilibrium. In dynamic equilibrium, the body is in motion, but the net force and net torque acting on it are zero.
What condition ensures an object remains in stable equilibrium?
Solution:
The condition that ensures an object remains in stable equilibrium is that the vertical line from the center of gravity lies within the base of support. This ensures that any displacement raises the center of gravity, causing the body to return to its original position.
Why are sports cars designed with a heavy bottom?
Solution:
Sports cars are designed with a heavy bottom to lower the center of gravity and improve stability. A lower center of gravity makes the car less likely to roll over during sharp turns.
Which factors maximize an object’s stability?
Solution:
The factors that maximize an object’s stability are a larger base and a lower center of gravity. A larger base provides more support, and a lower center of gravity makes the object less likely to topple over.
A parrot’s heavy tail helps it stay upright by:
Solution:
A parrot’s heavy tail helps it stay upright by lowering its center of gravity. A lower center of gravity improves stability and makes the parrot less likely to topple over.
Which example directly utilizes a lowered center of gravity for stability?
Solution:
The example that directly utilizes a lowered center of gravity for stability is the needle-cork-forks system. This system demonstrates how a lower center of gravity improves stability.