Asmall cube (M = 0.45 kg) is at a height of 315 cm up a frictionless track which has a loop of radius, R= 47.25 cm at the bottom. The%3Dcube slides freely down the ramp and around the loop. Find the velocity of the block when it is at the top of the loop.VHR A uniform solid cylinder (M = 0.45 kg, r = 0.18 cm) is at the top of a similar ramp, which has friction. The cylinder rolls down the ramp withoutsliding and goes around the loop. Find the velocity of the cylinder at the top of the loop.VHR.

m=0.45 Kg h=315-(2*47.25) = 220.5 cm = 2.205 m law of conservation (1/2)*m*v^2 = m*g*h

small cube (M = 0.45 kg) is at a height of 315 cm up a frictionless track which has a loop of radius, R= 47.25 cm at the bottom. The cube slides freely down the ramp and around the loop. Find the velocity of the block when it is at the top of the loop. V H R

small cube (M = 0.45 kg) is at a height of 315 cm up a frictionless track which has a loop of radius, R= 47.25 cm at the bottom. The cube slides freely down the ramp and around the loop. Find the velocity of the block when it is at the top of the loop. V H R

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.6P

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Question

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Asmall cube (M = 0.45 kg) is at a height of 315 cm up a frictionless track which has a loop of radius, R= 47.25 cm at the bottom. The
%3D
cube slides freely down the ramp and around the loop. Find the velocity of the block when it is at the top of the loop.
V
H
R

A uniform solid cylinder (M = 0.45 kg, r = 0.18 cm) is at the top of a similar ramp, which has friction. The cylinder rolls down the ramp without
sliding and goes around the loop. Find the velocity of the cylinder at the top of the loop.
V
H
R.

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