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 that the speed of the blocks as block B hits the floor is given by: v = squarerot 2gH / 3 question Explain briefly why the height of block A does not matter.

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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 that the speed of the blocks as block B hits the floor is given by: v = squarerot 2gH / 3

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Explain briefly why the height of block A does not matter.

A
Bordplate
B
H
Gulv
Transcribed Image Text:A Bordplate B H Gulv
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