Physics Fundamentals
Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 4, Problem 51P

(a)

To determine

To Find: The unstretched length of each spring.

(b)

To determine

To Find: The instantaneous acceleration of the weight.

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3-46. Determine the stretch in each of the two springs required to hold the 20-kg crate in the equilibrium position shown. Each spring has an unstretched length of 2 m and a stiffness of k = 300 N/m. C B 12 m 6 m 4 m
You pull on a string with a horizontal force of magnitude F = 40 N that is attached to a block of mass m, = 7.5 kg, then to the axle of a solid cylinder of mass m. = 4.8 kg and radius r = 0.4 m, then to a spring of spring constant k = 140 N/m. This is all done on an inclined plane where there is friction ( 4s = 0.68 and , = 0.31 ), and the incline angle is e = 25 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the Cylinder, Spring, and Block on Ramp spring stretches. 000000000- b yb First, what is the speed of the block and cylinder after you have pulled the block and cylinder 86 cm down the plane?
The system is released from rest with no slack in the cable and with the spring unstretched. Determine the distances traveled by the 4.5-kg cart before it comes to rest (a) if m approaches zero and (b) if m= 2.8 kg. Assume no mechanical interference and no friction. The distances is positive if up the incline, negative if down. k = 160 N/m 4.5 kg m Answers: (a) m = 0, S= i (b) m = 2.8 kg, S= i 28° m m
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