The center of mass of the two masses of size M does not move. The unbalanced extra mass m accelerates downward at value a. So the spring balance reading, S, is an amount ma less than in the static case, ie. S = (2M+m)g - ma. This reduces to . S = 4M(M+m)g/(2M+m).For the total mass: F = (M + m 1 + m 2)a For the masses individually: m 1 a = T, m 2 g = T --> a = m 2 g/m 1. F = (M + m 1 + m 2)m 2 g/m 1. Problem: Near the surface of Earth, two masses, m 1 = 1 kg and m 2 = 3 kg, are connected by a string of negligible mass. The masses hang on opposite sides of a pulley with radius R.

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Jun 19, 2016 · A package of mass m is released from rest at a warehouse loading dock and slides down the 3.0 m high, frictionless chute shown below. Unfortunately, the last package of mass 2m sent down the chute has not been picked up, and is still there. If the packaged stick together, what is their speed after collision? A block of mass 5 Kg is suspended by a string to a ceiling and is at rest. ... In the two blocks of masses m 1 and m 2 and pulley system below, the pulley is frictionless and massless and the string around the pulley is massless. Find an expression of the acceleration when the block are released from rest. ... = g (m 2 - m 1 sin28° - m 1 μk ...Two blocks: M1 of mass 8 kg and M2 of mass 2 kg are connected by a massless rope over a massless pulley. M1 is a distance d = 2 m from the bottom of a frictionless incline at an incline of 30 degrees above the horizontal. Initially both bocks are at rest. The radius of the pulley is r = .25 m and the rope does not slip on the pulley. Find the acceleration of wedge of mass 4m placed on smooth horizontal surface as two blocks of masses m and 2m slide over it. Q. 8 A pulley system is setup as in figure.

1. Two particles of mass 1 kg and 3 kg move towards each other under their mutual force of attraction. No other force acts on them. When the relative velocity of approach of the two particles is 2 m/s, their centre of mass has a velocity of 0.5 m/s. When the relative velocity of approach becomes 3 m/s, the velociy of the centre of mass is 0.75 ... The coefficient of static friction is less than the coefficient of kinetic friction ... Two blocks A and B with masses m and 2m are in contact on a horizontal frictionless surface. A force F is applied to block A. ... A lamp of mass m is suspended from two cables of unequal length. The rope with T2 is shorter than the rope with T1.The two blocks of masses M and 2M shown above initially travel at the same speed v but in opposite directions. They collide and stick together. How much mechanical energy is lost to other forms of energy during the collision? (A) Zero (B) ½ Mv2 (C) ¾ Mv2 (D) 4/3 Mv2 (E) 3/2 Mv2

In this system, a damping factor is neglected for simplicity. The mass of m (kg) is suspended by the spring force. The spring force acting on the mass is given as the product of the spring constant k (N/m) and displacement of mass x (m) according to Hook's law. A motion equation of the mass-spring mechanical system is expressed as Eq. (11.37):