(a) Explanation Given Information: Length of the string of the conical pendulum, L = 50 cm = 0.5 m . Mass of the bob, m = 0.05 kg Formula Used: Centripetal acceleration: a = ( v 2 r ) Calculation: The free body diagram showing the various forces acting on the conical pendulum are Let the period of the pendulum be T . The tension in the string is F → 1 and the angle it makes with respect to the direction chosen as the positive x direction is θ . Resolving the F → 1 into two components F 1 cos θ along the x-axis and F 1 sin θ along the y-axis we get. Now the acceleration of the bob along the x-axis is the centripetal acceleration and is given as a = ( v 2 r ) Now from the free body diagram along the x-axis F 1 cos θ = m v 2 r .. (b) To determine To Find: The period of the pendulum.

6th Edition

ISBN: 9781319321710

Author: Mosca

Publisher: VST

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Chapter 5, Problem 84P

(a)

To determine

To Find:The angle between the string and the horizontal.

(b)

To determine

To Find:The period of the pendulum.

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Chapter 5, Problem 83P

Chapter 5, Problem 85P

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The angle between the string and the horizontal.

Solution Summary: The author analyzes the free body diagram showing the various forces acting on the conical pendulum. The tension in the string and the angle it makes with respect to the direction chosen as the positive x direction is the centrip