A particle is suspended from a point A by an inextensible string of length L. It is projected from B with a velocity V, perpendicular to AB, which is just sufficient for it to reach C. A (a) Show that, if the string is just to be taut when the particle reaches C, its speed there is (gL). (b) Find the speed V with which the particle should be projected from B. V. B (c) At which point of the circular path is the string most likely to break?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.9P: A particle of mass m is at rest at the end of a spring (force constant = k) hanging from a fixed...
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full solution please for full qn (some ans: b) sq rt 5gL

A particle is suspended from a point A by an inextensible string of
length L. It is projected from B with a velocity V, perpendicular to
AB, which is just sufficient for it to reach C.
A
(a) Show that, if the string is just to be taut when the particle
reaches C, its speed there is (gL).
(b) Find the speed V with which the particle should be projected
from B.
V.
B
(c) At which point of the circular path is the string most likely to
break?
Transcribed Image Text:A particle is suspended from a point A by an inextensible string of length L. It is projected from B with a velocity V, perpendicular to AB, which is just sufficient for it to reach C. A (a) Show that, if the string is just to be taut when the particle reaches C, its speed there is (gL). (b) Find the speed V with which the particle should be projected from B. V. B (c) At which point of the circular path is the string most likely to break?
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