Two blocks, A and B, with masses of MA = 2M and MB = M, respectively, are connected together by a massless and non-elastic cord, as shown in the drawing. Block A lies on a table top, while block B hangs in the string one height, H above the floor. The massless pulley is stuck and thus can not achieve any translational movement, but it can rotate freely and frictionlessly about its own center. Assume that the pulley rotates so that the cord does not slide on the pulley. The system starts at rest before it is released. Assume that block A slides frictionlessly on the table top. Assume that the table top is long enough for block A to still be on the table when block B hits the floor. Show by means of energy conservation 2gH that the speed of the blocks as block B hits the floor is given by: v = 3 Question Explain briefly why the height of block A does not matter.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
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A
Bordplate
B
H
Gulv
Two blocks, A and B, with masses of MA = 2M and MB = M, respectively, are connected together by
a massless and non-elastic cord, as shown in the drawing. Block A lies on a table top, while block B
hangs in the string one height, H above the floor. The massless pulley is stuck and thus can not
achieve any translational movement, but it can rotate freely and frictionlessly about its own center.
Assume that the pulley rotates so that the cord does not slide on the pulley. The system starts at rest
before it is released.
Assume that block A slides frictionlessly on the table top. Assume that the table top is long enough
for block A to still be on the table when block B hits the floor. Show by means of energy conservation
2gH
that the speed of the blocks as block B hits the floor is given by: V =
V 3
Question
Explain briefly why the height of block A does not matter.
Transcribed Image Text:A Bordplate B H Gulv Two blocks, A and B, with masses of MA = 2M and MB = M, respectively, are connected together by a massless and non-elastic cord, as shown in the drawing. Block A lies on a table top, while block B hangs in the string one height, H above the floor. The massless pulley is stuck and thus can not achieve any translational movement, but it can rotate freely and frictionlessly about its own center. Assume that the pulley rotates so that the cord does not slide on the pulley. The system starts at rest before it is released. Assume that block A slides frictionlessly on the table top. Assume that the table top is long enough for block A to still be on the table when block B hits the floor. Show by means of energy conservation 2gH that the speed of the blocks as block B hits the floor is given by: V = V 3 Question Explain briefly why the height of block A does not matter.
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