A small stone of mass m = 1kg is stuck at the front of mass M = 10kg at height h = 1m. The coefficient of friction between the two masses is μ = 0.2 as shown. For this problem ignore the air resistance. (a) Find the minimum force F such that the mass m will stuck on mass M. (b) If the two mass start from rest with the force F(answer from above) is applied for 10s. The mass M then suddenly stops sending the mass m flying forward. Find the distance between where the mass M stops and where mass m lands.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.19P
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A small stone of mass m = 1kg is stuck at the front of mass M = 10kg at height h = 1m. The coefficient of friction between the two masses is μ = 0.2 as shown. For this problem ignore the air resistance. (a) Find the minimum force F such that the mass m will stuck on mass M.
(b) If the two mass start from rest with the force F(answer from
above) is applied for 10s. The mass M then suddenly stops sending the mass m flying forward. Find the distance between where the mass M stops and where mass m lands.

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