Home Physics System of Particles Rotational Motion Mix A uniform cube of mass M and side a is place…
Physics System of Particles Rotational Motion Mix MCQ (Single Correct)

A uniform cube of mass M and side a is placed on a frictionless horizontal surface. A vertical force F is applied to the edge as shown in figure. Match the Column I with Column II.

Column I

Column II

(A)

(p)

Cube will move up.

(B)

(q)

Cube will not exhibit

motion.

(C)

(r)

Cube will begin to

rotate and slip at A.

(D)

(s)

Normal reaction

effectively at a/3

from A, no motion.

A
A - p, B - q, C - s, D – r
B
A - r, B - s, C - q, D – p
C
A - q, B - r, C - p, D – s
D
A - s, B - p, C - r, D – q

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Text Solution

Verified by Experts
The correct answer is:
C

From figure, moment of force F about A,

anticlockwise.

Moment of weight Mg of cube about A.

Clockwise.

The cube will not exhibit any motions,

If

Or

The cube will rotate only, when

If we assume that normal reactions is effective at a/3 from A, then block would turn if

When there will be no motion.

Hence, we conclude

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