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question..A prevent of huge m1 and bodyweight w1 = m1g goes on a stage frictionless exterior. It is attached by a gentle versatile string moving past over a little frictionless lever to a second clinging prevent of huge m2 and bodyweight w2 = m2g. What is the speed of the program and what is the stress in the string?
The plan shows the creates working on each avoid. The creates used on the stops by the sequence can be regarded an measures reaction several,
åfx = T = m1ax åfy = N – mg = m1ay = 0 Applying Newton’s second law to the hanging block, we obtain åfy = m2g – T = m2ay T = m1a . . . (1) m2g – T = m2a . . . (2) Including two equations reduces T giving m2g = (m1 + m2) a a = m2g/m1+m2 Replacing the value of an in formula (1) gives the stress as T = m1m2 g / m1+m2
åfx = T = m1ax
åfy = N – mg = m1ay = 0
Applying Newton’s second law to the hanging block, we obtain
åfy = m2g – T = m2ay
T = m1a . . . (1)
m2g – T = m2a . . . (2)
Including two equations reduces T giving
m2g = (m1 + m2) a
a = m2g/m1+m2
Replacing the value of an in formula (1) gives the stress as
T = m1m2 g / m1+m2
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