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I have the answers these questions but I don't know how to do them. I have a test coming up and I have a feeling it might be on it. It'd be nice to know how to do it. Thanks! (see details)

jj.kim

by jj.kim at January 04, 2011

The figure below shows a block of mass m resting on a 20° slope. The block has coefficients of friction µs = 0.76 and µk = 0.44 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg.


(a) What is the minimum mass m that will stick and not slip? [Answer:1.89 kg]

(b) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? [Answer: 1.43 m/s/s]

Answers

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So the force (tension) acting from the m2 is equal to that acting from m1 + friction so. m2*g = m1*sin(20)*g + m1*cos(20)*g*CoefFricStat :2*9.81 = m1*(sin(20)*9.81 + cos(20)*9.81*.76) m1 = 1.8936so to find the acceleration use the CoefFricKinetic to find the difference in speeds that will be your (b)

John_Doe John_Doe January 13, 2011

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