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Test: Conservation of Angular Momentum


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Test: Conservation of Angular Momentum - Question 1

Two discs of moments of inertia I1 and I2 about their respective axes (normal to the disc and passing through the centre), and rotating with angular speeds I1 and I2 are brought into contact face to face with their axes of rotation coincident. What is the angular speed of the two disc system?

Detailed Solution for Test: Conservation of Angular Momentum - Question 1

As there is no any external force acting between the two discs so according to law of conservation of angular momentum, we get
L= Iω
So, I1ω1 + I2ω2 = (I1 + I2) ω

Test: Conservation of Angular Momentum - Question 2

Which of the following doesn’t use the application of Conservation of Angular Momentum?

Detailed Solution for Test: Conservation of Angular Momentum - Question 2

Conservation of angular momentum is one of the key conservation laws in physics, along with the conservation laws for energy and (linear) momentum. All the top 3 options use the application conversion of angular momentum.
But the cause of fruit drop can occur due to many reasons such as a severe pest infestation can stress the tree enough to cause fruit drop, Sudden changes in temperature, particularly when high temperatures occur at or shortly after fruit set, can cause fruit drop.

Test: Conservation of Angular Momentum - Question 3

Space craft orientation is based on the principle of:

Detailed Solution for Test: Conservation of Angular Momentum - Question 3

Conservation of angular momentum is a physical property of a spinning system such that its spin remains constant unless it is acted upon by an external torque; put another way, the speed of rotation is constant as long as net torque is zero.

Test: Conservation of Angular Momentum - Question 4

What is the relation between torque and angular momentum?

Test: Conservation of Angular Momentum - Question 5

A circus acrobat while performing spins brings his limbs closer to the body. Due to this

Detailed Solution for Test: Conservation of Angular Momentum - Question 5

While in the pike position the body decreases in radius as each segment moves closer to the axis of rotation, resulting in angular velocity increasing and a decrease of moment of inertia. Thus, during a dive, angular momentum is constant meaning that moment of inertia is inversely proportional to angular velocity.

Test: Conservation of Angular Momentum - Question 6

An earth satellite is moving around the earth in a circular orbit. In such case, what is conserved?

Detailed Solution for Test: Conservation of Angular Momentum - Question 6

Angular Momentum is conserved
Mvr = constant
We can say that v is proportional to 1/r. When satellite stays near earth then velocity of the satellite is maximum.

Test: Conservation of Angular Momentum - Question 7

A child can balance himself on a moving cycle than on a stationary cycle. Based on

Detailed Solution for Test: Conservation of Angular Momentum - Question 7

Spinning wheels have angular momentum, and when you're sitting on a bike, you and it and its wheels make up a system that obeys the principle of conservation of angular momentum.

Test: Conservation of Angular Momentum - Question 8

A child stands at the centre of a turntable with his two arms outstretched. The turntable is set rotating with an angular speed of 40 rpm. How much is the angular speed of the child if he folds his hands back and thereby reduces his moment if inertia to 2/5 times the initial value? Assume that the turntable rotates without friction.

Detailed Solution for Test: Conservation of Angular Momentum - Question 8

Angular momentum is conserved.
I1w1 = I2w2
I2 = (2/5)I1
I1(40) = (2/5)I1w2
w2 = 100 rpm

Test: Conservation of Angular Momentum - Question 9

A circus acrobat while performing spins brings his limbs closer to the body. Due to this

Detailed Solution for Test: Conservation of Angular Momentum - Question 9

Because when the moment of inertia decreases, rotational kinetic energy increases as work is done in decreasing the moment of inertia of the body.
A circus acrobat performs feats involving spin by bringing his arms and legs closer to his body or vice versa. On bringing the arms and legs closer to the body, his moment of inertia decreases. Hence his angular velocity increases. The reverse is also true.

Test: Conservation of Angular Momentum - Question 10

In system international, angular momentum is measured in

Detailed Solution for Test: Conservation of Angular Momentum - Question 10

L=Iω2(L- angular momentum)
I(moment of inertia)=mr2
L=1×1×100/60
L=1.6 kgm2s-1
  ≈1.9 kgm2s-1

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