A 2 Kg block is suspended 5 m above the ground by a light rope wrapped
around a 3 kg solid pulley wheel, as shown in figure below. The pulley
wheel, which was initially at rest, is then released allowing it to
rotate freely, letting the block fall to the ground.
Ignoring friction effects the rope mass:
(a) Briefly state where, and in what forms, energy is stored in this
system:
(Note – numerical calculations are not required here, just clear
comments about the forms and locations of energy storage. State any
assumptions you make)
Before the pulley wheel is released.
Just before block hits ground.
(b) What is the rotational speed of the pulley wheel (in revolutions per
sec) as the block hits the ground?
(c) At what speed will the block hit the ground?
(d) How long does it take (after release) for the block to reach the
ground?
M (wheel) = 3 Kg
Solid pulley
wheel
Diameter = 1m
Rope
block
M (block) = 2 Kg
ground
h = 5 m
Moment of interia J = m r^2
2
Mathematics Homework Solutions
#112630
A block suspended above the ground by a light rope wrapped around a pulley wheel, is released allowing it to rotate freely, letting the block fall to the ground. To determine the rotational speed, speed, time to reach the ground.
A 2 Kg block is suspended 5 m above the ground by a light rope wrapped around a 3 kg solid pulley wheel, as shown in figure. The pulley wheel, which was initially at rest, is then released allowing it to rotate freely, letting the block fall to the ground.
Ignoring friction effects the rope mass:
(a) Briefly state where, and in what forms, energy is stored in this system:
(Note – numerical calculations are not required here, just clear comments about the forms and locations of energy storage. State any assumptions you make)
(1) Before the pulley wheel is released.
(2) Just before block hits ground.
(b) What is the rotational speed of the pulley wheel (in revolutions per sec) as the block hits the ground?
(c) At what speed will the block hit the ground?
(d) How long does it take (after release) for the block to reach the ground?
See attached file for full problem description.
The problem is solved step by step highlighting the underlying principles involved.
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