1,A helicopter flies over the arctic ice pack at a constant altitude, towing an
ID: 1772402 • Letter: 1
Question
1,A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 134-kg laser sensor which measures the thickness of the ice (see the drawing). The helicopter and the sensor move only in the horizontal direction and have a horizontal acceleration of magnitude 3.51 m/s2. Ignoring air resistance, find the tension in the cable towing the sensor.
2,To hoist himself into a tree, a 72.0-kg man ties one end of a nylon rope around his waist and throws the other end over a branch of the tree. He then pulls downward on the free end of the rope with a force of 377 N. Neglect any friction between the rope and the branch, and determine the man’s upward acceleration. Use g =9.80 m/sec2.
3,A 205-kg log is pulled up and to the right on a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 30.0 degrees with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.900, and the log has an acceleration up and to the right of magnitude 0.800 m/s2. Find the tension in the rope.
3,A 205-kg log is pulled up and to the right on a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 30.0 degrees with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.900, and the log has an acceleration up and to the right of magnitude 0.800 m/s2. Find the tension in the rope.
Explanation / Answer
1) m = 134 kg , ax = 3.51 m/s2
T = sqrt (Tx2 + Ty2)
T = sqrt [ (max)2 + (mg)2]
T = sqrt [(134 * 3.51)2 + (134 * 9.81)2]
Tension in cable T = 1396 N
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