8. A mass m₁ = 9.00 kg is connected by a light string that passes over a pulley of mass M = 14.0 kg to a mass m₂ = 12.5 kg sliding on a horizontal frictionless surface (see figure). There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m₂? (The moment of inertia of the pulley is 1/2Mr².) N m₂ M m₁

8. A mass m₁ = 9.00 kg is connected by a light string that passes over a pulley of mass M = 14.0 kg to a mass m₂ = 12.5 kg sliding on a horizontal frictionless surface (see figure). There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m₂? (The moment of inertia of the pulley is 1/2Mr².) N m₂ M m₁

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Two weights attached to a uniform beam of mass 38 kg are supported in a horizontal position by a pin and cable as shown in the figure. 2.4 m kN. 38 kg 11 kg 5.9 m 43° 34 kg What is the tension in the cable which sup- ports the beam? The acceleration of gravity is 9.8 m/s². Answer in units of kN. Answer in units of Your response... i Previous Responses X #1.0.6495 PALETTE
A weight with mass mw = 250 g is tied to a piece of thread wrapped around a spool, which is suspended in such a way that it can rotate freely. When the weight is released, it accelerates toward the floor as the thread unwinds. Assume that the spool can be treated as a uniform solid cylinder of radius R = 3.00 cm and mass Ms 100 g . M, Find the magnitude a of the acceleration of the weight as it descends. Assume the thread has negligible mass and does not slip or stretch as it unwinds. Use g = 9.81 m/s?. m a = mw Find the tension T in the thread.
The figure shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 86.2 N on the wall to which it is attached. The tensions in the shorter cords are T₁ = 60.1 N, T₂ = 33.1 N, and T3 = 8.21 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D? (a) Number (b) Number (c) Number (d) Number Units Units Units Units A B D Ti T₂ T3 SUPPOR
The figure shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 81.9 N on the wall to which it is attached. The tensions in the shorter cords are T₁ = 56.3 N, T₂ = 49.3 N, and T3 = 5.05 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Units T₁ T₂ T3
1.0m 3.0m 0.5m mi m, PA N, 5. The drawing above shows two objects on a board supported at two locations. The m; = 40 kg (centered over P), m2=20 kg and m3=10 kg. a. Show the forces acting on the board below with arrows with labels beginning at their approximate point of application (see example for the force exerted by m;). (Don't forget the gravitational forces acting on the board.) P F1
a 4kg block is attached to the vertical pole by two strings. when the system rotates about the axis of the pole the two strings are extended as shown in the diagram, the tension in the upper string is 88N. find the tension in the lower string, the rev/min the system makes normally and when the lower cord just goes slack.
The figure below shows two blocks connected by a string of negligible mass passing over a frictionless pulley. m₁ = 4.8 kg and 8 = 12.0°. Assume that the incline is smooth. m, m₁ For what value of m₂ (in kg) will the system be in equilibrium? m₂ 23.1 kg = If the block has to slide down the incline with an acceleration of 1.1 m/s², what should be the value of m₂ (in kg)? m₂ kg
Children playing pirates have suspended a uniform wooden plank with mass M = 13.4 kg, length ℓ = 2.40 m, and angle θ = 35.0°, as shown in the figure. Sophia, with a mass of m = 21.6 kg, is made to "walk the plank" and is d = 1.5 m from reaching the end of the plank. What is the tension acting on the rope at the end (i.e value of F3)?
2. A pulley is being pulled upward with a force F on the axle directly. Two objects of masses mi = 1.3 kg and m2 = 1.8 kg are attached to the opposite ends of a massless string, which passes over the massless and frictionless pulley as shown in Fig. 2. The object m2 is in contact with the floor. Consider g = 9.81 m/s? What is the largest value, the force F may have so that m2 (a) will remain at rest on the floor? (b) 108 N? What is the tension in the string if the upward force F is (c) With the tension determined in part (b), what are the Fig. 2 accelerations of the masses mi and m2?
In the Atwood machine shown below, ml = 2.00-kg and m2 = 5.60-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 into motion at vi = 2.15 m/s downward. How long will it take for mị to reach the lowest level? m1 m2
In a “Giant Swing” shown in figure, the seat is connected to two cables. One is from the top of the central shaft which makes an angle of 40.0° with the vertical and the other cable of 7.50 m is horizontal. The seat swings in a horizontal circle at a rate of 25.1 m/s. If the seat weighs 245 N and a 540 N person is sitting in it, find the tension in each cable.
14. Figure shows a uniform disk mounted on a fixed axle. A stationary block of mass 6 kg is connected to this disk with a massless cord that is wrapped Icom = MR²/2 around the rim of the disk. As the block descends down the plane, the cord does not slip and there is only friction over the inclined plane. Find the M= 10 kg R= 25 cm m = 6 kg a) acceleration of the block, b) tension in the cord. Hx = 0.4 Answers: a) 2.98 m/s²; b) 14.9 N 53°