Gravitation Test

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Gravitation Test - 4

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Question 1
1 / -0

A body falling vertically downwards under gravity breaks in two parts of unequal masses. The center of mass of the two parts taken together shifts horizontally towards

A
heavier piece

B
lighter piece

C
does not shift horizontally

D
depends on the vertical velocity at the time of breaking.

Solution

As the body falls vertically downwards, no external forces acts in the horizontal direction.

Hence, the center of mass does not shift horizontally.
Question 2
1 / -0

The center of gravity is the ratio of ________ to _________.

A
The product of centroid and weight to the total weight

B
The addition of centroid and weight to the total weight

C
The subtraction of centroid and weight to the total weight

D
The product of centroid and weight to the total mass

Solution

The product of the centroid of the section to its weight to the total weight of the body is the center of gravity. The ratio is generally used to locate the coordinate of the centroid or the center of gravity.
Question 3
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The _________ is the average location of the weight of an object.

A
centroid

B
center of mass

C
center of gravity

D
Both A and C

Solution

The center of gravity is a geometric property of any object. The center of gravity is the average location of the weight of an object. We can completely describe the motion of any object through space in terms of the translation of the center of gravity of the object from one place to another, and the rotation of the object about its center of gravity if it is free to rotate.
Question 4
1 / -0

A rigid body is said to be in mechanical equilibrium, if

A
the body has neither linear acceleration nor angular acceleration.

B
its linear momentum is changing with time but the angular momentum remains constant with time.

C
both its linear momentum and angular momentum are not changing with time.

D
Both A and C

Solution

A rigid body is said to be in mechanical equilibrium, if both its linear momentum and angular momentum are not changing with time, or equivalently, the body has neither linear acceleration nor angular acceleration.