Figure Q4 shows a uniform slender bar of mass m and length l is pinned and attac

Question

Figure Q4 shows a uniform slender bar of mass m and length l is pinned and attached to the cart B by a torsional spring with stiffness K at point P. The cart is forced to move according to a harmonic displacement relation x, = b sin omega t . Assume the amplitude b of the harmonic displacement is small compared with the length l of the bar. angle theta is small and friction at the pivot is negligible. Knowing that the torsional spring is undeformed when theta = 0. Determine the range of values of omega for which the amplitude of the motion of the bar is less than b/l. If the mass of the cart B is m2, determine the force that must be applied to the cart to maintain the motion.

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