WorksheetsUnit 8 Rotational Equilibrium Review CP Physics
Total questions: 31
Worksheet time: 16mins
What is the center of gravity (CG) of an object?
The point where the object is heaviest.
The point where the object is most stable.
The specific point at which the total weight of an object is concentrated.
The average position of all the mass in an object.
Torque is defined as?
mass times velocity.
force times time.
force times lever arm.
mass times acceleration.
Why is the concept of the center of gravity important in engineering?
It helps in calculating the weight of an object.
It is only relevant for small objects.
It affects the stability, balance, and movement of objects.
It determines the color of the object.
What is the first step in calculating the center of gravity of an irregular object?
Estimate the weight of the object.
Divide the object into smaller shapes.
Identify the geometric center.
Measure the height of the object.
What does the term 'lever arm' refer to in the context of torque?
The weight of the object being moved.
The angle at which the force is applied.
The total mass of the object.
The distance from the pivot to the point where the force is applied.
What is the unit of torque?
Pascal
Watt
Newton-meter
Joule
What condition must be met for a body to be in rotational equilibrium?
The sum of all torques must be zero.
The object must be accelerating.
The sum of all forces must be greater than zero.
The object must be in motion.
Which of the following statements is true regarding the application of force to a door?
Pushing near the hinges creates maximum torque.
Pushing at the edge of the door creates greater torque.
The location of force application does not affect torque.
Torque is irrelevant when opening a door.
A seesaw is in rotational equilibrium with a 40 kg child sitting 2 meters from the pivot point on one side. If a 60 kg adult wants to balance the seesaw by sitting on the other side, how far from the pivot should the adult sit?
1.33 meters
3 meters
4 meters
1.5 meters
If an object is in unstable equilibrium, any displacement will?
increase its mass.
neither raise nor lower its center of gravity.
lower its center of gravity.
raise its center of gravity.
In a complex seesaw system, a 30 kg child sits 1.5 meters from the pivot, while a 20 kg child sits 2 meters from the pivot on the same side. What mass should be placed 2.5 meters from the pivot on the opposite side to achieve rotational equilibrium?
28 kg
34 kg
36 kg
40 kg
Which of the following best describes Newton's second law in the context of rotational motion?
The net force acting on an object is equal to the mass of the object times its acceleration.
The net torque acting on a body is equal to the moment of inertia times the angular acceleration.
For every action, there is an equal and opposite reaction.
The total energy in a closed system remains constant.
In a system in rotational equilibrium, what can be said about the net torque?
The net torque is zero.
The net torque is equal to the net force.
The net torque is equal to the moment of inertia.
The net torque is equal to the angular velocity.
A wheel is rotating with a constant angular velocity. According to Newton's second law of rotational motion, what can we conclude about the net torque acting on the wheel?
The net torque is zero
The net torque is constant and non-zero
The net torque is increasing
The net torque is decreasing
A rotating object has an initial angular momentum L. If its moment of inertia is halved (reduced to I/2) without any external torque, what happens to its angular velocity (ω)?
It becomes one-quarter.
It is doubled.
It stays the same.
It is also halved.
Which term measures how mass is distributed relative to an axis of rotation and influences angular momentum?
Linear momentum
Kinetic energy
Angular velocity
Moment of inertia
How does a figure skater’s spin demonstrate the conservation of angular momentum?
Pulling arms in increases spin speed.
Pulling arms in decreases spin speed.
It shows that angular momentum is not conserved.
Extending arms increases spin speed.
A student states that any two objects with exactly the same mass will always have the same moment of inertia. What is the most accurate critique of this statement?
The statement is correct, as mass is the only factor.
The statement is incorrect; moment of inertia also depends on shape.
The statement is partially correct but ignores gravity.
The statement is irrelevant to rotational motion.
A solid cylinder (mass M, radius R) and a hollow ring (mass M, radius R) are released simultaneously from rest at the top of an inclined ramp. The solid cylinder wins the race, reaching the bottom first.
Based on this result, which object has the larger moment of inertia (I)?
The solid cylinder.
The hollow ring.
They will have the same moment of inertia.
It is impossible to determine without knowing the angle of the ramp.
Which factor does NOT affect the moment of inertia of an object?
The mass of the object
The color of the object
The distribution of mass relative to the axis
The shape of the object
If the center of gravity of an object is located outside its physical boundaries, what does this indicate?
The object is hollow or has an irregular shape.
The object is perfectly symmetrical.
The object is in stable equilibrium.
The object has zero mass.
What happens to the torque produced if the force applied to a lever arm is doubled while the distance from the pivot remains constant?
Torque becomes zero
Torque remains the same
Torque is halved
Torque is doubled
Which of the following scenarios best illustrates the conservation of angular momentum?
A person walks in a circle at a constant speed.
A ball is dropped from a height.
A car accelerates in a straight line.
A spinning ice skater pulls in her arms and spins faster.
Why does a diver tuck into a ball shape during a somersault to spin faster?
To increase their mass
To decrease their moment of inertia
To conserve linear momentum
To increase air resistance
Which of the following changes would increase the moment of inertia of a spinning disk?
Decreasing its mass
Increasing its radius
Spinning it faster
Moving mass closer to the axis of rotation
Which object has the smallest moment of inertia about its central axis?
A thin ring
A hollow sphere
A solid cylinder
A solid sphere
Which of the following actions will lower the center of gravity of a standing person?
Bending the knees
Standing on tiptoes
Leaning backward
Raising both arms above the head
If a uniform beam is supported at its center of gravity, what will happen?
It will break at the support point
It will remain balanced
It will tip to one side
It will rotate continuously
According to Newton's 2nd law of motion, what happens to the acceleration of an object if the net force acting on it is doubled while its mass remains constant?
Acceleration becomes zero
Acceleration is halved
Acceleration remains the same
Acceleration is doubled
Which of the following will NOT affect the angular acceleration of a rotating object?
The color of the object
The net torque applied
The moment of inertia
The mass distribution
If a force is applied perpendicular to the radius of a rotating wheel, which quantity is directly affected?
Linear velocity
Angular velocity
Moment of inertia
Mass
