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.)
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
35 m
b
45 m
c
65 m
d
32 m
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed 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 For block of mass m to just move up the incline kx=mgsinθ+μmgcosθ⇒2Mg=mg×35+34mg×45⇒M=35m