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WorksheetsTopic 8 Rotational of Rigid body
Total questions: 40
Worksheet time: 25mins
"Angle undergoes from a fixed reference line" this statement refer to
Linear displacement
Angular displacement,𝜽
Angular velocity, 𝝎
Angular acceleration
"Rate of change of angular displacement" this statement refer to
Angular displacement,𝜽
angular acceleration
Average angular velocity, 𝝎av
Instantaneous angular velocity, 𝝎
"Angular acceleration at a specified position or at a particular of time" this statement refer to
Average angular velocity, 𝝎av
Angular displacement,𝜽
Instantaneous angular acceleration, 𝜶
average angular acceleration, 𝜶av
Torque is define as cross product between distance, r and __________
energy
velocity
force
displacement
When there is no external torque acting on a body moving in circular path, which of the following quantities remain constant
potential energy
linear momentum
angular momentum
angular displacement
A body with a definite shape that doesn't change is:
period
angular acceleration
rigid body
radius of gyration
In which condition will you see a rigid body to be in equilibrium?
∑ τ = 0
∑F=0
Both ΣF ≠ 0 and Σ𝜏 ≠ 0
Both ΣF = 0 and Σ𝜏 = 0
The number of complete revolutions per second is :
frequency
period
torque
rotational inertia
The torque produce by the force F shown in Figure above is given by .................. and the force F rotate the object ..............
F r cos θ ; clockwise
F r cos θ ; counterclockwise
F r sinθ ; clockwise
F r sinθ ; counterclockwise
The easiest way to open a heavy door is by applying the force
Near the hinges
In the middle of the door
At the edge of the door farthest from the hinges
At the top of the door
Which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?
The inside horse
The outside horse
Neither - they both have the same angular speed
can not be determined
What does this formula measure?
mrv
where m : mass ; r is distance from axis of rotation ; v is tangential velocity
moment of inertia
impulse
torque
angular momentum
A person sits on a freely spinning lab stool that has no friction in its axle. When this person extends her arms,
her moment of inertia increases and her angular speed decreases.
her moment of inertia decreases and her angular speed increases.
her moment of inertia increases and her angular speed increases.
her moment of inertia increases and her angular speed remains the same.
In an ice skating competition, the girl seems to rotate faster as she lifts up her legs and arms vertically above her head. It is because
the moment of inertia is decreased
the angular momentum is increased
the center of gravity is increased
the potential energy is increased
How many radians make up one revolution of 360 degrees?
π/2
π
2π
3π/2
Angular Momentum is the product of...
rotational inertia and linear velocity.
linear inertia and angular velocity.
linear momentum and angular velocity
rotational inertia and angular velocity.
Which of these items is easier to turn?
Left
Right
Both are just as easy to turn
Both are just difficult to turn
What happens to rotational inertia (a.k.a moment of inertia) of an object when mass is moved close to axis of rotation?
Decreases
Increases
Stays the Same
None of above
A merry-go-round spins freely when Diego moves quickly to the center along a radius of the merry-go-round. As he does this, it is TRUE to say that
the moment of inertia of the system increases and the angular speed increases.
the moment of inertia of the system decreases and the angular speed remains the same.
the moment of inertia of the system decreases and the angular speed decreases.
the moment of inertia of the system decreases and the angular speed increases.
What force does not cause any torque?
Force on the fulcrum.
Force perpendicular to the plank
Force slightly off center of the fulcrum
Forces at a 45 degree angle to the fulcrum
A seesaw is unbalanced with two people of different masses sitting equal distances from the center. Which of the following will result in equilibrium?
The larger person moving further away from the center.
Moving the smaller person closer to the center.
Moving the smaller person further from the center.
Making the larger person do nothing.
What is the SI unit for Torque
Nm
N
W
J
Which will produce more torque to loosen the lug nut?
A
B
They are the same
the information given in picture is not sufficient
The value of torque depends on distance from the rotation axis and the _______________________
magnitude of applied force.
mass of object
moment inertia of object
shape of object
All the forces rotating clockwise will have a _______ torque
positive
negative
None of above
zero
You apply force to a wrench to tighten a bolt. The wrench breaks in half. Select the BEST answer for what happens next. Assume the force applied remains constant.
The torque is now half of what it was, because torque and distance are inversely proportional
The torque is now half of what it was, because torque and distance are directly proportional
The torque is now double of what it was, because torque and distance are inversely proportional
The torque is now double of what it was, because torque and distance are directly proportional
When a ballet dancer outstretch her arms, the angular velocity of the skater ......
increases.
decreases.
remains unchanged.
is zero.
The moment of inertia of a rigid body does depend on the following factors EXCEPT ……
mass
radius
thickness
shape
Point A and point B are located on the same rigid body. rA and rB are distances between the axis of rotation to each of the point. The body is rotating with uniform angular velocity, ω. If rA > rB then ….
Angular velocity : ωA = ωB and linear velocity vA = vB.
Angular velocity : ωA < ωB and linear velocity vA < vB.
Angular velocity : ωA = ωB and linear velocity vA > vB.
Angular velocity : ωA > ωB and linear velocity vA > vB.
Angular Momentum is the product of...
moment of inertia and linear velocity.
linear inertia and angular velocity.
linear momentum and angular velocity
moment of inertia and angular velocity.
According to the Law of Conservation of Angular Momentum, if I (momentum of inertia) increases, what will happen to ω?
Decrease
Stay the same
Increase
When a rigid object rotates about a fixed axis, Which statement is TRUE about all the points in the object?
They all have the same tangential acceleration.
They all have the same angular speed.
They all have the same tangential speed.
They all have the same radial acceleration.
Two children, Ahmed and Saleh, ride on a merry-go-round. Ahmed is at a greater distance from the axis of rotation than Saleh. Which of the following statements is TRUE ?
Saleh and Ahmed have the same tangential speed.
Ahmed has a greater tangential speed than Saleh.
Saleh has a greater angular speed than Ahmed.
Saleh has a smaller angular speed than Ahmed.
A possible unit for angular acceleration, α is:
rad s-2
rad s-1
N m
kg m2
α=ΔtΔω is called
angular
velocity
angular acceleration
rotational inertia
angular displacement
Analogue of mass in rotational motion is
moment of inertia
radius of gyration
torque
angular momentum
Which of the following is the equation to determine moment of inertia of a particle?
m
mv2
mr
mr2
Which of the following pairs of quantities represents the analogy between rotational and linear motion EXCEPT?
moment of inertia and mass
Torque and force
Angular momentum and force
Angular acceleration and linear acceleration
A load is suspended from a pulley by using a light rope. If the load is falling from rest, which of the following quantities will increases ?
Tension of the rope
Angular velocity of the pulley
Moment inertia of the pulley
Angular acceleration of the pulley
Four points P,Q,R,S are on a blade of a ceiling fas as shown in Figure. As the blades rotate in anti clockwise direction as indicated in Figure, which point has greatest tangential velocity ?
P
Q
R
S
