A ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and swings as a pendulum as shown in Fig. (1). The ball is released from rest at point A when the string makes an angle of 0 with vertical. Determine: 1) The velocity of the ball as it passes through point B. 2) The tension TA in the string at A. 3) The tension TB in the string at B. A B Fig. 1

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.10P
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A ball of mass (m) is connected by a light string of length (L) to a frictionless
pivot point P and swings as a pendulum as shown in Fig. (1). The ball is
released from rest at point A when the string makes an angle of 0 with
vertical. Determine:
1) The velocity of the ball as it passes through point B.
2) The tension TA in the string at A.
3) The tension TB in the string at B.
A
B
Fig. 1
Transcribed Image Text:A ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and swings as a pendulum as shown in Fig. (1). The ball is released from rest at point A when the string makes an angle of 0 with vertical. Determine: 1) The velocity of the ball as it passes through point B. 2) The tension TA in the string at A. 3) The tension TB in the string at B. A B Fig. 1
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