A string with one end fixed on a rigid wall, passing over a fixed frictionless pulley at a distance of 2m from the wall, has a point mass M = 2kg attached to it at a distance of 1m from the wall. A mass m = 0.5 kg attached at the free end is held at rest so that the string is horizontal between the wall and the pulley and vertical beyond the pulley. What will be the speed with which the mass M will hit the wall when the mass m is released?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Let M strikes with speed v. Then, velocity of m at this instant will be 
or 
.
Further M will fall a distance of 1m while m will rise up by 
.
From energy conservation, decrease in potential energy of 
increase in potential energy of 
increase in kinetic energy of both the blocks.
or 
Solving this equation, we get, 
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems