Two masses, m1 and m2, are each suspended on identical springs. They were displaced an equal distance from equilibrium position and were released simultaneously. They are both at position of initial displacement at the instant m1 has completed 5 cycles and m2 has completed 3 cycles. m1=3 kilograms, determine the mass of m2 *

Determine the mathematical model of the mechanical systemgiven below using Lagrange law. The mechanical system is composed of body A of mass M and body B of mass m. Body B is attached to a fixed support which performs vertical movements. While to body B is connected body A which performs rotational motion. A e12 B

also determine the force exerted by loop ABCD on the block at point C is _____ N.

500 mm A o r₁ OG mm о в 400 mm- A force of 5-N is applied to the cable at a distance 0.3-m from the center to the reel, which causes the 143-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the work of the force P to achieve 6 revolutions. Neglect the mass of the rollers and the mass of the cable.

7. Consider the system shown below. The spring is connected via a cable to the non-rotating shaft of the roller with mass m₂ and radius R. A second cable connected to the shaft passes through the two pulleys. k ww χ M₁ Use conservation of energy to derive the equations of motion. The equilibrium position corresponds to x = 0. Neglect the masses of the pulleys and assume the cable is inextensivle.

Block A rests on a horizontal tabletop. A light horizontal rope is attached to it and passes over a pulley, and block B is suspended from the free end of the rope. The light rope that connects the two blocks does not slip over the surface of the pulley (radius 0.080 m) because the pulley rotates on a frictionless axle. The horizontal surface on which block A (mass 2.50 kg) moves is frictionless. The system is released from rest, and block B (mass 5.00 kg) moves downward 1.80 m in 2.00 s. A)What is the tension force that the rope exerts on block B ?B)What is the tension force that the rope exerts on block A ?

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