Analyze motion of the two bodies connected by string, Mechanical Engineering

Analyze motion of the two bodies connected by string:

Analyze motion of the two bodies connected by string one of which is hanging free and other lying on smooth inclined plane.

Sol.: Consider the two bodies having weight W1 and W2 respectively connected by light inextensible string as shown in the figure given below.

Let body W1 hang free and the W2 be places on the inclined smooth plane. W1 will move downwards and body W2 will move upwards along inclined surface. A little consideration will show that velocity and acceleration of body W1 will be same as W2. As the string is inextensible, thus tension in both strings will be equal.

Consider motion of W1W  - T = (W1/g)a                                                                                                   ...(1)

Consider motion of W1

1821_Analyze motion of the two bodies connected by string.png

T - Wsin ± = (W1/g)a                                                                                                                               ...(2)

Solve equations for 'T' and 'a'

Posted Date: 10/20/2012 1:13:53 AM | Location : United States







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