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Posted: **Fri Apr 29, 2022 10:20 am**

: A Cable Is Attached To One End Of A Spring Of Stiffness K 500 N M With The Other End Of The Spring Fixed To Ground The 1 (31.73 KiB) Viewed 36 times

: A Cable Is Attached To One End Of A Spring Of Stiffness K 500 N M With The Other End Of The Spring Fixed To Ground The 2 (25.32 KiB) Viewed 36 times

: A Cable Is Attached To One End Of A Spring Of Stiffness K 500 N M With The Other End Of The Spring Fixed To Ground The 3 (31.92 KiB) Viewed 36 times

A cable is attached to one end of a spring of stiffness k=500 N/m with the other end of the spring fixed to ground. The cable then wraps tightly around a pulley of mass moment of inertia about its centre of mass I = 0.1 kg.m2 such that there is no slip between the two. The system is initially at rest with the spring at its rest length (i.e., unstretched) when a force F-300 N is applied to the cable as shown. Once the end of the cable has been pulled a distance of x=0.5 m, what is the corresponding angular velocity of the pulley? The pulley may be considered to be mounted on a frictionless bearing.

F -1 6 k www

29.58 rad/s / O /s 1450 rad/s 41.83 rad/s 65.19 rad/s O /s 22.36 rad/s