Question

Two blocks are attached to opposite ends of a string that passes over a massless, frictionless...


Two blocks are attached to opposite ends of a string that passes over a massless, frictionless pulley (see the figure). Block ? of mass 10.0 kg lies on a 60.0° incline with a coefficient of friction of 0.500, and block ? of mass 1.00 kg is attached to a vertical spring of force constant 200 N/m. The blocks are initially at rest with the spring at equilibrium. Find the maximum height that the block ? rises.

Homework Answers

Answer #1

for block A


work done by gravity


WAg = mA*g*sintheta*h

for block B


work done by gravity

WBg = -mB*g*h


work done by spring force


Ws = -(1/2)*k*h^2


work done by friction


Wf = -uk*mA*g*costheta*h

initial and finally the blocks are at rest

Ki = Kf = 0

from work energy relation total work = change in KE


mA*g*sintheta*h - mB*g*h - (1/2)*k*h^2 - uk*mA*g*costheta*h = 0

(10*9.81*sin60*h) - (1*9.81*h)-(1/2)*200*h^2 - (0.5*10*9.81*cos60*h) = 0


h = 0.506 m <<------------answer

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