ROTATIONAL MOTION MCQ Quiz: GKFix - Bridge of Knowledge - Page 551

Question 2751

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What is the condition for the center of mass to be at the origin?

∫ dm = 0
M = 0
R = 1
∫ r dm = 0

Question 2752

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In the expression X = (1/M) ∫ x dm, what does x represent?

The total length of the body
The distance from the center
The velocity in x-direction
The x-coordinate of the mass element dm

Question 2753

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For a homogeneous cube, where is the center of mass located?

At one corner
At the top face
At the center of an edge
At the geometric center

Question 2754

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What is the physical meaning of the integral ∫ r dm?

It gives the total kinetic energy
It gives the angular momentum
It gives the gravitational force
It represents the total moment of mass about the origin

Question 2755

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What is the significance of making ∆mi smaller and increasing n in the calculation of center of mass?

It increases the total mass
It makes the body heavier
It changes the shape
It makes the calculation exact