Laws Of Motion Question 396

Question: A block of mass m is attached with massless spring of force constant k. The block is placed over a fixed rough inclined surface for which the coefficient of friction is μ=3/4. The block of mass m is initially at rest. The block of mass M is released from rest with spring in unstretched state. The minimum value of M required to move the block up the plane is (neglect mass of string and pulley and friction in pulley.)

Options:

A) 35m

B) 45m

C) 65m

D) 32m

Show Answer

Answer:

Correct Answer: A

Solution:

As long as the block of mass m remains stationary, the block of mass M released from rest comes down by

2MgK (before coming it rest momentarily again).

Thus the maximum extension in the spring is x=2MgK …(1)

For block of mass m to just move up the incline kx=mgsinθ+μmgcosθ …..(2)

2Mg=mg×35+34mg×45 or M=35m



NCERT Chapter Video Solution

Dual Pane