4 36 A Metal Ball Mass M With A Hole Through It Is Threaded On A Frictionless Vertical Rod A Massless String Lengt 1 (25.34 KiB) Viewed 16 times
4 36 A Metal Ball Mass M With A Hole Through It Is Threaded On A Frictionless Vertical Rod A Massless String Lengt 2 (7.34 KiB) Viewed 16 times
4.36** A metal ball (mass m) with a hole through it is threaded on a frictionless vertical rod. A massless string (length 1) attached to the ball runs over a massless, frictionless pulley and supports a block of mass M. as shown in Figure 4.27. The positions of the two masses can be specified by the one angle 0. (a) Write down the potential energy U (0). (The PE is given easily in terms of the heights shown as h and H. Eliminate these two variables in favor of 8 and the constants b and I. Assume that the pulley and ball have negligible size.) (b) By differentiating U(@) find whether the system has an equilibrium position, and for what values of m and M equilibrium can occur. Discuss the stability of any equilibrium positions.
b h H M Figure 4.27 Problem 4.36
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