Q. 23

Expert-verifiedFound in: Page 178

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A mobile at the art museum has a steel cat and a steel dog suspended from a lightweight cable, as shown in FIGURE EX It is found that when the center rope is adjusted to be perfectly horizontal. What are the tension and the angle of rope ?

The tension and the angle of the rope are and respectively.

Mass of the cat

Mass of dog

The horizontal component of tension in rope 1 will balance the horizontal tension in rope 2. The vertical component of tension in rope 1 will balance the weight of 2.0 kg cat.

Divide equation with equation and brings at one side as

Similarly, the second knot, which joins rope and , Horizontal component of rope 2 will balance T_{2} . The vertical component will balance the dog.

Substituting the given data in equation (7), we get

The tension and the angle of the rope are respectively

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