The simple pendulum A of mass mA = 3.7 kg and length / = 1.46 m is suspended from the trolley B of mass mg = 5.1 kg. If the system is released from rest at 0 = 0, determine the velocity VB (positive if to the right, negative if to the left) of the trolley when 0 = 90°. Friction is negligible. Answer: VB = B i m/s
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- Problem 8: A car of mass m = 1020 kg is traveling down a 0 = 12 degree incline. When the car's speed is vo = 11 m/s, a mechanical failure causes all four of its brakes to lock. The y coefficient of kinetic friction between the tires and road is u = 0.45.In a rotational equilibrium experiment, a group takes a one-meter ruler with a uniformly distributed mass of 250 grams. A thread will be tied to the ruler 15 cm to the left of the center of mass, swinging the ruler. Then the group places a mass m1 = 170 gr at the 20 cm position on the ruler. Then they place a mass m2 = 155 gr in the 40 cm position. What must be the value of a mass m3 placed at the 15 cm position on the ruler for the system to remain in equilibrium?In the figure, two satellites, A and B, both of mass m = 36.1 kg, move in the same circular orbit of radius r = 7240 km around Earth (mass ME = 5.98×1024 kg) but in opposite senses of rotation and therefore on a collision course. (a) Find the total mechanical energy Е+ ЕÅ of the two satellites + Earth system before the collision. (b) If the collision is completely inelastic so that the wreckage remains as one piece of tangled material (mass = 2m), find the total mechanical energy immediately after the collision. (c) Just after the collision, is the wreckage falling directly toward Earth's center or orbiting around Earth? (a) Number Units (b) Number (c) Units A B Earth
- A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?A hammer is made of a solid sphere and a solid rod of negligible mass attached to the sphere. The radius of the sphere is R=25.0 cm and its mass is m=0.200 kg. The distance from the center of the sphere to the pivot is l=0.800 m. The hammer is released from it is initial position at the angle p=45° with the vertical direction (see Figure below). Find the velocity of its center of mass at the lowest point. The moment of inertia of a solid sphere is 2mR2/5 about the axis through any diameter. mA block of mass mA=20kg on an inclined plane and a bucket of mass mbucket=16kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of θ=46o with the horizontal and the coefficients of kinetic and static friction are μk=0.21 and μs=0.58. The system is initially at rest and a student starts to fill the bucket with balls, each of whose mass is 100 grams, one at a time until the system starts to move. Determine the number of balls the student placed in the bucket. Take g=9.80m/s2 and please note that the number balls must be an integer!
- Two blocks, A and B, with masses of MA = 2M and MB = M, respectively, are connected together by a massless and non-elastic cord, as shown in the drawing. Block A lies on a table top, while block B hangs in the string one height, H above the floor. The massless pulley is stuck and thus can not achieve any translational movement, but it can rotate freely and frictionlessly about its own center. Assume that the pulley rotates so that the cord does not slide on the pulley. The system starts at rest before it is released. Assume that block A slides frictionlessly on the table top. Assume that the table top is long enough for block A to still be on the table when block B hits the floor. Show by means of energy conservation that the speed of the blocks as block B hits the floor is given by: v = squarerot 2gH / 3 question Explain briefly why the height of block A does not matter.At the instant r = 2 m, the 8-kg disk is given a speed of v = 8 m/s, perpendicular to the elastic cord. Determine the speed of the disk at the instant r=1.1 m. The disk slides on the smooth horizontal plane. Neglect its size. The cord has an unstretched length of 0.5 m. k= 200 N/m BCan you help? I am stuck! Two simple pendulums of equal length l = 0.45 m are suspended from the same point. The pendulum bobs are small solid steel spheres. The first bob is drawn back to make a 35° angle with the vertical, while the other one is left hanging at rest. If the first bob has a mass of 0.25 kg and the second has a mass of 0.54 kg, how high will the second bob rise above its initial position when struck elastically by the first bob after it is released?