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,

                              åf_x = T = m₁a_x                 

                              åf_y = N – mg = m₁a_y = 0

                              Applying Newton’s second law to the hanging block, we obtain

                              åf_y = m₂g – T = m₂a_y

                                    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

Posted Date: 2/7/2012 4:44:36 AM | Location : United States

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