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

Question

Figure shows a block of mass m resting on a 20? slope. The block has coefficients of friction 0.82 and 0.48 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg.

I need solving for B)

If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have?

Figure shows a block of mass m resting on a 20 degree slope. The block has coefficients of friction 0.82 and 0.48 with the surface. It is connected via a massless string over a massless. frictionless pulley to a hanging block of mass 2.0 kg (Figure 1) What is the minimum mass m that will stick and not slip? Express your answer to three significant figures and include the appropriate units. Correct If you need to use the rounded answer you submitted here in a subsequent part, instead use the full precision answer and only round as a final step before submitting an answer Part B If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

2*9.8 - T = 2*a ----(1)

T - 1.8*9.8* sin 20 - 0.48*1.8*9.8* cos 20 = 1.8*a ......(2)

add (1) and (2)

2*9.8 - 1.8*9.8* sin 20 - 0.48*1.8*9.8* cos 20 = 3.8*a

a = 1.476 m/s^2

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