In the figure, block 1 has mass m₂ 480 g. block 2 has mass m₂ - 550 g, and the pulley is on a frictionless horizontal axde and has radius R=4.9 cm. When released from rest, block 2 falls 73 cm in 4.5 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. m₂

In the figure, block 1 has mass m₂ 480 g. block 2 has mass m₂ - 550 g, and the pulley is on a frictionless horizontal axde and has radius R=4.9 cm. When released from rest, block 2 falls 73 cm in 4.5 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. 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

A block of mass m1 = 3.70 kg on a frictionless plane inclinedat angle 30.0= is connected by a cord over a massless,frictionless pulley to a second block of mass m2 2.30 kg ). What are (a) the magnitude of the acceleration of eachblock, (b) the direction of the acceleration of the hanging block,and (c) the tension in the cord?
As shown below, the mass of block 1 is m1 = 4.0 kg, while the mass of block 2 is m2 = 8.0 kg. The coefficient of friction between m1 and the inclined surface is μk = 0.40. What is the acceleration of the system?
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.
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 81.8 N on the wall to which it is attached. The tensions in the shorter cords are T1 = 62.4 N, T2 = 49.8 N, and T3 = 5.01 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D?
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?
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.
Three astronauts, propelled by jet backpacks, push and guide a 123 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F1 = 29 N, F2 = 50 N, F3 = 43 N, θ1 = 30°, and θ3 = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis in the range of (-180°, 180°]) of the asteroid's acceleration?
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 rod of length 56 cm and mass 1.4 kg is suspended by two strings which are 34 cm long, one at each end of the rod. The string on the right is cut. Find the magnitude of the initial acceleration of the right end
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
The three masses shown in the figure are in equilibrium and the inclined plane is frictionless.If θ = 30.7°, m2 = 2.00 kg, and m3 = 4.24 kg, determine the mass m1 and the magnitude of the tension T in the string connecting m2 and m3.