   Chapter 7, Problem 27P

Chapter
Section
Textbook Problem

An air puck of mass m1 = 0.25 kg is tied to a siring and allowed to revolve in a circle of radius R = 1.0 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m2 = 1.0 kg is tied to it (Fig. P7.27). The suspended mass remains in equilibrium while the puck on the tabletop revolves, (a) What is the tension in the string? (b) What is the horizontal force acting on the puck? (c) What is the speed of the puck? Figure P7.27

(a)

To determine
The tension in the string.

Explanation

Given info: The mass of the block is 1.0kg and the acceleration due to gravity is 9.8m/s2 .

Explanation: The mass m2 is in equilibrium position the tension in the string is equal to its weight.

The formula for the tension in the string is,

T=m2g

• m2 is mass of the block.
• g is acceleration due to gravity.

Substitute 1.0kg for m2 and 9.8m/s2 for g to find T

(b)

To determine
The horizontal force on the string.

(c)

To determine
The speed of the puck.

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