Consider the system shown in the figure below with m_1 = 24.0 kg, m_2 = 12.6...
A m_1 = 14.0 kg object and a m_2 = 12.0 kg object are suspended, joined by a cord that passes over a pulley with a radius of 10.0 cm and a mass of 3.00 kg (Fig. P10.46). The cord has a negligible mass and does not slip on the pulley. The pulley rotates on its axis without friction. The objects start from rest 3.00 m apart. Treating the pulley as a uniform disk, determine the speeds of the two...
In the Atwood machine below, m_1 = 2.00 kg and m_2 = 7.00 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction, and the string does not stretch. The lighter object is released with a sharp push that sets it in motion at V_0 = 2.40 m/s downward, How far will m_1 descend below its initial level? Find the velocity of m_1 after 1.80 s
Mass M_2 starts from rest and falls a height H. Mass M_1 is attached by a rope to mass M_2. The rope goes over a massless and frictionless pulley. Assume the rope is massless and does not stretch. The coefficient of kinetic friction mu k exist between M_1 and the table. Determine the acceleration of M_1 after M_2 is released Determine the time it takes M_2 to fall to the ground. Determine the velocity of M_1 as M_2 hits the...
A mass (M_1 = 5.0 kg is connected by a light cord to a mass (M_2 = 4.0 kg) which slides on a smooth surface, as shown in the figure. The pulley (radius = 0.20 m) rotates about a frictionless axle. The acceleration of M_2 is 3.5 m/s^2. What is the moment of inertia of the pulley?
Two blocks of masses m_1 = 4 kg and m_2 = 5kg are connected by a massless string that passes over a massless frictionless pulley as shown in Fig. 6.34. Block m_1 is initially at rest on a smooth horizontal plane while block m_2 is at a height h = 0.75 m above the ground. Use conservation of mechanical energy to find the speed of the masses just before m_2 hits the ground.
In the figure below, the hanging object has a mass of m_1 = 0.400 kg; the sliding block has a mass of m_2 = 0.770 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R_1 = 0.020 0 m, and an cuter radius of R_3 = 0.030 0 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface...
In the figure, two blocks, of mass m_1 = 323 g and m_2 = 490 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 431 g and radius R = 11.5 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the...
Two blocks of mass m_1 = 3.00 kg and m_2 = 7.00 kg are connected by a massless string that passes over a frictionless pulley (see the figure below). The inclines are frictionless Find the magnitude of acceleration of each block. m/s^2 Find the tension in the string. N
Two objects with masses of m_1 = 2.00 kg and m_2 = 8.00 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. Determine the tension in the string. (Enter the magnitude only.) Determine the acceleration of each object. (Enter the magnitude only.) Determine the distance each object will move in the first second of motion if both objects start from rest.
Two objects are connected to a cord, and the cord is hung over a pulley connected to the ceiling, as shown in the figure below mg The masses of the objects are m 17.0 kg and m2 12.0 kg, the mass of the pulley is M 5.00 kg, and the radius of the pulley is R 0.300 m. Object m2 is initially on the floor, and object m, is initially 5.00 m above the floor when it is released from...