Find the magnitude and position of the balancing mass at a radius of 13cm by using the analytical method. Three masses m1, m2, m3, are attached to a shaft and revolve in the same plane. The masses are 12kg, 10kg, and 15kg respectively and their radii of rotations are 5cm, 6cm, 7cm respectively. The angular position of the masses m2, m3 are 45° and 145° from the mass m1.

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Consider the wheel shown below with radius R, mass m, and radius of gyration ko¹ The wheel rolls without slipping under the action of a clockwise torque M. At the instant shown the spring with spring constant ks is unstretched. Derive an expression for the velocity of the wheel center of mass G after the center of mass has moved a distance d. (Hint: Use rigid body work-energy principles. The work done to the system by the applied moment is McA0 and A0 can be related to the distace d by the no-slip condition.) Us G R M м, ко ////

In the mechanism shown below, the wheel is pinned at the center. The radius from O to C is 0.2 m and link CB is 0.55 m long. CB makes an initial angle of 25° with the horizontal as shown. The hydraulic ram at B is moving left at 7 m/s. At the moment shown, what is the angular velocity of link BC and the wheel pivoted at 0? 0000 Ninbet tatis rad/s