A rectangular block of width w = 112.5 cm, depth d = 164.8 cm, and height h = 108.1 cm is cut diagonally from one upper corner to the opposing lower corners so that a triangular surface is generated, as shown in the figure. A paperweight of mass m = 15.13 kg slides down that incline without friction. What is the magnitude of the acceleration that this object experiences?,
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- A m₁ = 1.20-kg aluminum block and a m₂ = 7.85-kg copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge (of angle 0 = 31.5°) as shown in the figure. (For aluminum on steel, μs = 0.61 and μk = 0.47. For copper on steel, μs = 0.53 and μk = 0.36.) Aluminum m1 Steel Copper 12 e (a) the acceleration of the two blocks m/s² (b) the tension in the string N Need Help? Read ItA huge pendulum is made out of a 8.26-m cable attached at the top to a steel beam. The bottom of the cable is attached to a 38.7-kg anvil that swings back and forth. At the very bottom of its swing, the anvil travels at a speed of 2.53 m/s. Find the tension (in N) in the cable. (You may assume that the cable itself has negligible mass.)A small object is initially at rest at the top of a large solid sphere that is fixed on the ground. The small object then begins to slide along the surface of the large solid sphere, without friction. V₁ = 0 RI Part (a) Find the angle at which the small object loses contact with the large solid sphere. Part (b) Find the maximum horizontal distance traveled by the small object before it hits the ground. Take (xi, y₁) = (0,2R) as the coordinates for the top of the large solid sphere.
- Two people are pulling a heavy 95 kg box across the floor as shown in the figure. Person A is pulling in the x-direction only with a force of 20 N. Person B is pulling at an angle e = 40° above the x-direction, also with a force of 20 N. What is the total pulling force on the box in the x-direction?A m1 = 1.50-kg aluminum block and a m2 = 6.10-kg copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge (of angle θ = 32.0°) as shown in the figure. (For aluminum on steel, μs = 0.61 and μk = 0.47. For copper on steel, μs = 0.53 and μk = 0.36.)A block of mass m = 2.90 kg is pushed a distance d = 7.80 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 24.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force. J(b) Determine the work done on the block by the normal force exerted by the table. J(c) Determine the work done on the block by the force of gravity. J(d) Determine the work done by the net force on the block.
- A 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of μs = 0.70 and μk = 0.50. The turntable very slowly speeds up. What is the frequency of the rotation of the turntable expressed in revolutions per minute when the coin slides off? Express your answer in revolutions per minute.Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. A student creates a data table (see image) for the net force exerted on the block during the speeding up and slowing down portions of the experiment. (d) Does the block of mass M spend more time speeding up or slowing down? Justify your answer.A cord passing over a pulley connects two masses, as shown, where m, = 3.60 kg and m, = 7.10 kg. The system accelerates with a magnitude of 1.34 m/s?. The coefficient of kinetic friction between the masses and the incline is the same for both masses. Assume the pulley is frictionless, and the cord is massless. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) m2 m, 35.0° 35.0° (a) What is the coefficient of kinetic friction? (b) What is the tension (in N) in the cord?
- In the figure, a cord runs around two massless, frictionless pulleys. A canister with mass m = 41 kg hangs from one pulley, and you exert a force F on the free end of the cord. (a) What must be the magnitude of F if you are to lift the canister at a constant speed? (b) To lift the canister by 3.5 cm, how far must you pull the free end of the cord? During that lift, what is the work done on the canister by (c) your force (via the cord) and (d) the gravitational force? (Hint: When a cord loops around a pulley as shown, it pulls on the pulley with a net force that is twice the tension in the cord.) (a) Number i Units (b) Number i Units (c) Number Units (d) Number i UnitsConnected objects with inclined plane problem. Consider the figure where you have two boxes connected by a string over a pulley. The smooth (frictionless) ramp is inclined to a an angle of 35° with the flat ground, and the box on the ramp has a mass of 6.40 kg. The mass of the 6.4 kg hanging box is m = 3.05 kg. You don't need to consider significant figures in your answer, but don't round excessively partway through your calculations. 35° Find (a) the direction and (b) the magnitude of the hanging box's acceleration.The steel I-beam in the drawing has a weight of 1.51 × 103 N and is being lifted at a constant velocity. What is the tension in each cable attached to its ends?