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Question (31)
QN0035029

is the angle of the incline when a block of mass  just starts slipping down. The distance covered by the block if thrown up the incline with an initial speed  is       

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

Here is the angle of repose.

The retardation of the block

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Question (32)
QN0035030

A disc with a flat small bottom beaker placed on it at a distance  from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity . The coefficient of static friction between the bottom of the beaker and the surface of the disc is . The breaker will revolve with the disc if :            

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

Let is the distance travelled, then by third equation of motion

or or 
(b) For beaker to move with disc

So, will be maximum, when

Therefore,

So,

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Question (33)
QN0035031

An insect is at the bottom of a hemispherical ditch of radius . It crawls up the ditch but starts slipping after it is at height  from the bottom. If the coefficient of friction between the ground and the insect is 0.75 , then  is :   

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

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