Question

A bucket with mass m = 1.0 kg is suspended over a well by a winch and rope. The winch consists of a solid cylinder with mass 4.0 kg and radius R = 0.10 m about which the rope is wrapped. A handle is attached to one end in order to rotate the cylinder. For the purposes of this example, we are going to ignore any frictional forces in the winch. Now suppose that the winch handle breaks off, allowing the bucket to fall to the water as the rope unwinds from the cylinder. Assume that the bucket is released at t=0 and the water level is at a depth h = 2.2 m below the bucket at t=0. How far above the water is it at 0.50 s?

1.8 m (with sig figs) is the correct answer but I would like to know how to get this answer

Answer #1

A bucket hands over a well by a rope. The rope is wrapped around
a winch (a wheel) which can be treated as a disk with a mass of
5.72 kg and a radius of 0.225m. The bucket itself weights 2.15kg
and starts 11.6m from the surface of the water. The rope does not
slip on the winch, and we can neglect any friction and air
resistance.
b. Use Newton's second law to find the linear acceleration of
the bucket...

A bucket of water of mass 15.9 kg is suspended by a rope wrapped
around a windlass, that is a solid cylinder with diameter 0.350 m
with mass 12.4 kg . The cylinder pivots on a frictionless axle
through its center. The bucket is released from rest at the top of
a well and falls a distance 10.2 m to the water. You can ignore the
weight of the rope.
Part A
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itself, what is the total length of string wrapped on the cylinder
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A cylindrical block of mass M=50kg , area of base=0.1 m2 and
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1. A mass of 2.8 kg is suspended from the ceiling of an elevator
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(a) accelerates upward at 1.2 m/s2
0 N 24.1 N 27.4 N 30.8 N
(b) accelerates downward at 1.2 m/s2
0 N 24.1 N 27.4 N 30.8 N
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A cylindrical block of mass M=50kg and height h=0.2m is hanging
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= 10 m/s²
1) 500
The cylindrical block of mass M=50kg and height h=0.2m is
hanging on a rope and is in equilibrium. The cylindrical block is
fully immersed in water with density...

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