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Chapter 2: Q. 75 (page 63)

The two masses in the Figure given below, slide on frictionless wires. They are connected by a pivoting rigid rod of length L. Prove that v2x= - v1y tan 饾泬.

Short Answer

Expert verified

The resultv2x=-v1ytan饾洺is proven.

Step by step solution

01

Step 1. Write the given information

The angle of inclination is 饾毠
The masses are attached with a string of lengthL

02

Step 2. To prove the result v2x=-v1y tan𝛉

Let the distance AB is a and AC is b
According to the Pythagoras theorem,
a2+b2=L2
Differentiate the above equation with respect to time
2adadt+2bdbdt=02av2x+2bv1y=0av2x=-bv1yv2x=-bav1y鈬�v2x=-v1ytan饾泬

Thus, the required result is obtained.

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