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Question

A wheel is rolling on a horizontal plane. At a certain instant, it has a velocity ′v′ and acceleration ′a′ of CM as shown in figure. Acceleration of

A
A is vertically upwards
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B
B may be vertically downwards
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C
C cannot be horizontal
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D
some points on the rim may be horizontal leftwards
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Solution

The correct options are
A A is vertically upwards
B B may be vertically downwards
C C cannot be horizontal
D some points on the rim may be horizontal leftwards

Tangential acceleration = rα
Linear acceleration= a
Centripetal acceleration = v2/r


At point A having acceleration in upwards direction.
hence, option A is correct.

Option B:

In a condition when centripetal acceleration is equal to linear acceleration body try to move vertically downwards.
Hence, option B is also correct.

Option C:
at point C tengential acceleration and linear acceleration are in a same direction. Where as no components in vertically upwards direction.
Hence, option C is also correct.

Option D:

At a point betwen A and B there have some probability when vertical component of v2/R cancel rα, hence net acceleration will be in horizontal leftwards.
So, option D is correct.

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