Figure shows a block of mass m resting on a 20 slope. The block has coefficients

Question

Figure shows a block of mass m resting on a 20 slope. The block has coefficients of friction 0.75 and 0.51 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg.

Express your answer to three significant figures and include the appropriate units.

Express your answer to three significant figures and include the appropriate units.

Figure shows a block of mass m resting on a 20 slope. The block has coefficients of friction 0.75 and 0.51 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. What is the minimum mass m that will stick and not slip? If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have?

Explanation / Answer

a.) 2*g=mgsin20+0.75mgcos20

=> 2=m(sin20+0.75cos20)

=> m=2/(0.342+0.75*0.939)

=> m=2/(.342+.704)

=> m=1.91kg

F/m=a

F=mgsin20

a= 3.351N.

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