For the motor hoist shown to the right: A) the rate at which the weight is lifte

Question

For the motor hoist shown to the right: A) the rate at which the weight is lifted is 2 times the rate at which the cable is taken up by the spool mounted on the motor shaft. B) The tension in the cable at A is less than the weight/2 as the weight is hemp raised. For the pear train shown to the right: C) If the speed on the driver is 4 Nm, the speed on the follower is 2 Nm. D) Given an initial velocity of 5 m/s at A, the roller coaster will be able to fee over the hump at B. E) The motor operates at a peak efficiency when the power output is at 125 W and an angular velocity of 500 rpm.

Explanation / Answer

a) True

because to lift the weight it should double the speed at the spool.

b) False

The tension in the string should be greater than W/2 so that weight moves upward.

c) False

Torque is equal for both the wheels.

d) True

According to conservation of energy, the height is greater than 2 m

e) True

At the center where the power is maximum P = 125 and w = 500

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