Just need the answers no work needed Thanks, (1) It takes 25 turns to drive a sc
ID: 1700100 • Letter: J
Question
Just need the answers no work needed Thanks,(1) It takes 25 turns to drive a screw completely into a block of wood. Because the friction force between the wood and the screw is proportional to the contact area between the wood and the screw, the torque required for turning the screw increases linearly with the depth that the screw has penetrated into the wood. If the maximum torque is 15 N m when the screw is completely in the wood, what is the total work (in Joules) required to drive in the screw?
(2) A disk with a mass of 30 kg and a radius of 40 cm is mounted on a frictionless axle such that it rotates vertically. A string is wound many times around the disk and then attached to a 70 kg block. The system is then released from rest. What is the magnitude of the acceleration (in m/s2) of the block as it falls, assuming that the string does not slip as it unwinds from the disk?
(3) A meter stick with a mass of 230 g is supported horizontally by two vertical strings, one at the 0 cm mark and one at the 90 cm mark. What is the tension (in Newtons) in the string at 90 cm?
(4) A 3 m long cantilever with a mass of 250 kg is attached to a hinge and also held in place by a steel cable that is attached to the far end of the cantilever at an angle of 30° with respect to the cantilever as shown in the figure at right. A 5 kg mass also hangs from the far end of the cantilever. What is the magnitude of the force (in Newtons) that the hinge exerts on the cantilever? Hint: this force will have both x and y components.
Explanation / Answer
Angular displacement = 2 * 25 = 50 = 157.07 rad
Torque = 15 N m
Work done W = * = 15 * 157.07 = 2356.19 J
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