A.) Determine the smallest combined mass m of the bucket and its contents for wh

Question

A.) Determine the smallest combined mass m of the bucket and its contents for which block C will remain at rest. (Round the final answer to two decimal places.)

The smallest combined mass m of the bucket and its contents for which block C will remain at rest is _________ kg.

B.) Determine the smallest combined mass m of the bucket and its contents for which block C will start moving up the incline. (Round the final answer to one decimal place.)

The smallest combined mass m of the bucket and its contents for which block C will start moving up the incline is ______ kg.

C.)

Determine the smallest combined mass m of the bucket and its contents for which block C will continue moving up the incline at a constant speed. (Round the final answer to one decimal place.)

The smallest combined mass m of the bucket and its contents for which block C will continue moving up the incline is _____ kg.

.

Explanation / Answer

A) mg + usWgcos30 = Wgsin30

m = (Wsin30 - usWcos30) = 116 x (0.5 - 0.35 x 0.866) = 22.84 kg

B) mg =  Wgsin30 + usWgcos30

m = (Wsin30 + usWcos30) = 116 x (0.5 + 0.35 x 0.866) = 93.16 kg

C) mg =  Wgsin30 + ukWgcos30

m = (Wsin30 + ukWcos30) = 116 x (0.5 + 0.25 x 0.866) = 83.115 kg

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