(a) Assume that all surfaces in the figure are frictionless. What value should m

Question

                    (a) Assume that all surfaces in the figure are frictionless. What value should m have so the masses won't accelerate?
                

                    (b) Now take

Assume that all surfaces in the figure are frictionless. What value should m have so the masses won't accelerate? Now take mu k =0.15 on all surfaces and m=1.1 kg. What will be the acceleration of both masses? For each part (a and b), you must have a free body diagram of each body with positive directions shown, Newton's Second Law written for each direction, and vertical substitution from the free body diagram for each of those bodies

Explanation / Answer

2 g sin 30 = m g sin 60

m = 2 sin 30 / sin60

= 1.154 kg

mu k = 0.15 , m = 1.1 kg

driving force = total force - frictional force

= (2g sin 30 - 1.1 g sin 60) - 0.15(2g cos 30 + 1.1g cos 60))

= 0.46 - 3.35 = -2.99

a = F / m = 2.99 / 3.1 = 0.96 m/s2

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