In the figure, block 1 has mass m₁ = 480 g, block 2 has mass m2 = 560 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.0 cm. When released from rest, block 2 falls 77 cm in 4.9 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T₂ (the tension force on the block 2) and (c) tension T₁ (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s². m₁ (a) Number i Units m₂

In the figure, block 1 has mass m₁ = 480 g, block 2 has mass m2 = 560 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.0 cm. When released from rest, block 2 falls 77 cm in 4.9 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T₂ (the tension force on the block 2) and (c) tension T₁ (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s². m₁ (a) Number i Units m₂

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 33P: Two blocks, each of mass m = 3.50 kg, are hung from the ceiling of an elevator as in Figure P4.33....

See similar textbooks

Similar questions

In Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
In the figure, a slab of mass m1 = 40 kg rests on a frictionless floor, and a block of mass m2 = 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F→ of magnitude 104 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
The two objects in the figure are connected by a massless cable which passes over a massless and frictionless pulley, and mass m2 is on a horizontal frictionless surface. Assuming gravity acts downward in the figure, and the objects are moving with a common acceleration as m1 falls downward, what is the acceleration of the system? A) 2.45 m/s^2 B) 4.9 m/s^2 C) 7.35 m/s^2 D) 9.8 m/s^2
In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that θ1 = 35.0°, θ2 = 55.0°, θ3 = 59.0°, m1 = 6.00 kg, and m2 = 11.0 kg.
There is a particle with mass m = 2 kg attached to a smooth wire that is positioned horizontally so that the particle can only move freely in the horizontal direction. The particle initially moves with a constant velocity V0, = 7 m/s to the right, which is then pulled by a constant force at an angle that varies with time as shown below. If the function of the angle is θ(t) = 0.2t +0.3, where is calculated in radians and t is in seconds, and the magnitude of the constant force is F = 10 N. then calculate: (Review only for 0.3≤θ≤? ) a. The time it takes for the particle to reach its maximum acceleration! b. The velocity of the particle when the force is exactly on the vertical axis!)
A block of mass m2 = 3.5 kg rests on a frictionless horizontal shelf. and is connected by ropes to two blocks of masses m1 = 1.5 kg and m3 = 2.5 kg, which hang freely, as shown in the figure. The pulleys are frictionless and their mass is negligible. The system is initially kept at rest. When released, determine: a) the acceleration of each of the blocks, and b) the tension in each rope.
A 6000 N elevator from rest attains an upward velocity of 6m/s in 4 seconds with uniform acceleration. If a 400 N man is standing inside the elevator, compute the apparent weight of man and tension of the supporting cable.
A person pulls at an angle of 0 = 34.0° on three connected crates of masses m¡ = 25.0 kg, m2 = 18.0 kg, and Pull m3 = 15.0 kg over a smooth horizontal floor, as shown in A В the figure. The crates are connected to each other by m, m, m3 identical massless, horizontal strings A and B, each of which can support a maximum tension of 45.0 N before breaking. What is the magnitude F, of the largest pulling force that can be exerted without breaking either of the strings?
In the figure, block 1 of mass m1 = 1.9 kg and block 2 of mass m2 = 1.4 kg are connected by a string of negligible mass. Block 2 is pushed by force F→ of magnitude 23 N and angle θ = 33°. The coefficient of kinetic friction between each block and the horizontal surface is 0.16. What is the tension in the string?
The wheels of an automobile are locked as it slides to a stop from an initial speed of 30.0 m/s. If the coefficient of kinetic friction is 0.600 and the road is horizontal, approximately how long does it take the car to stop? 4.22 s 5.10 s 8.75 s 10.4 s No answer
In the figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 44.4 N. If m1 = 18.7 kg, m2 = 23.0 kg, and m3 = 33.9 kg, calculate (a) the magnitude of the system's acceleration, (b)the tension T1, and (c) the tension T2.
In the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N and F2 = 4N in the xy plane. At time t = 0, the object is at point 0 and its speed is V = 2i + j (m / s). What is the acceleration of the particle and its position after 2 seconds in terms of the unit vector?