A thin semi-circular pipe has been bent in the shape of a semicircle of radius R and is held fixed. A ideal spring is inserted inside the pipe as shown in figure. Two balls, each of mass m, are released two ends of the pipe and the system is allowed to settle in equilibrium (see second figure). equilibrium, compression in the spring is found to be x. Find force constant (k) of the spring. vertical down mg cos R mg (A) k =- cos (B) k= 2x 2R (C) k = mg (D) k=- mg cos cos 2x 2R 2R

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
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A thin semi-circular pipe has been bent in the shape of a semicircle of radius R and is held fixed. An
ideal spring is inserted inside the pipe as shown in figure. Two balls, each of mass m, are released at
two ends of the pipe and the system is allowed to settle in equilibrium (see second figure). In
equilibrium, compression in the spring is found to be x. Find force constant (k) of the spring.
vertical
down
(A) k=-
mg
(B) k =-
mg
cos
cos
2.x
2R
R
(C) k =
mg
(D) k=
mg
cos
cos
2x
2R
2R
Transcribed Image Text:A thin semi-circular pipe has been bent in the shape of a semicircle of radius R and is held fixed. An ideal spring is inserted inside the pipe as shown in figure. Two balls, each of mass m, are released at two ends of the pipe and the system is allowed to settle in equilibrium (see second figure). In equilibrium, compression in the spring is found to be x. Find force constant (k) of the spring. vertical down (A) k=- mg (B) k =- mg cos cos 2.x 2R R (C) k = mg (D) k= mg cos cos 2x 2R 2R
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