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# A conical pendulum is formed by attaching a 500 g ball to ISBN: 9780130606204 3

## Solution for problem 49GP Chapter 6

Physics: Principles with Applications | 6th Edition

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Problem 49GP

A ?conical pendulum is formed by attaching a 500 g ball to a 1.0-m-long string, then allowing the mass to move in a horizontal circle of radius 20 cm. Figure 49 shows that the string traces out the surface of a cone, hence the name. a. What is the tension in the string? b. What is the ball’s angular velocity, in rpm? Hint: Determine the horizontal and vertical components of the forces acting on the ball, and use the fact that the vertical component of acceleration is zero since there is no vertical motion. FIGURE 49

Step-by-Step Solution:

Solution Step 1 of 6 Mass of the ball, m = 500g 3 3 Using 1 g = 10 kg m = 500×10 kg =0.5 kg Radius of the circular path, r= 20 cm 2 2 Using 1 cm = 10 m r= 20 ×10 m=0.2 m Length of the string, L= 1m Step 2 of 6 The tension on the string is deduced to its components as shown in the figure below, Here the tension T = T sin+ T cos The angle made with the vertical is, = sin (1 opposite sid) hypotenuse 1 = sin ( length 1 0.2m = sin ( 1m ) = 11.5369 o Step 3 of 6 The vertical component of tension will be equal to the weight or the gravitational force. Also the horizontal component of T will equal to the centripetal force. That is Horizontal component T sin=F = cr ………….1 And vertical component T cos =F = mg…………..2 G Where m is the mass of the ball, Fcand F G is the centripetal and gravitational force.

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##### ISBN: 9780130606204

Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. The full step-by-step solution to problem: 49GP from chapter: 6 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. This full solution covers the following key subjects: ball, vertical, string, figure, horizontal. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. The answer to “A ?conical pendulum is formed by attaching a 500 g ball to a 1.0-m-long string, then allowing the mass to move in a horizontal circle of radius 20 cm. Figure 49 shows that the string traces out the surface of a cone, hence the name. a. What is the tension in the string? b. What is the ball’s angular velocity, in rpm? Hint: Determine the horizontal and vertical components of the forces acting on the ball, and use the fact that the vertical component of acceleration is zero since there is no vertical motion. FIGURE 49” is broken down into a number of easy to follow steps, and 96 words. Since the solution to 49GP from 6 chapter was answered, more than 403 students have viewed the full step-by-step answer.

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A conical pendulum is formed by attaching a 500 g ball to

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