The concentric cylinders shown in the diagram has masses 10 kg and 20 kg with radii r=10 cm and R=20 cm respectively. You hang a baggage on the other end of the string such that the baggage accelerates downwards with an acceleration 0.6 m/s². Find out the mass of the baggage. (Assume pulley and string to be ideal, rolling without slipping case) M 30°

The concentric cylinders shown in the diagram has masses 10 kg and 20 kg with radii r=10 cm and R=20 cm respectively. You hang a baggage on the other end of the string such that the baggage accelerates downwards with an acceleration 0.6 m/s². Find out the mass of the baggage. (Assume pulley and string to be ideal, rolling without slipping case) M 30°

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 47P: A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static...

See similar textbooks

Similar questions

A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static friction between the man’s shoes and the merry-go-round is s=0.5 , how far from the axis of rotation can he stand without sliding?
If you were to stop a spinning wheel with a constant force, where on the wheel would you apply the force to produce the maximum negative acceleration?
A box is suspended from a coil of rope on a pulley of radius (0.54m) and rotating at a constant angular velocity (1.6rad/s) to lift it up. - Calculate the height that the box reaches after three seconds ?
Consider that instead of the force F, a block with mass m = 0.32 kg (with force F = 3.139 N) and radius R = 13.0cm is attached to the cylinder with a massless string (see Figure). The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves a distance 0.5647 m in a time interval of 0.57 s. Find Icm of the new cylinder.
For each of the four forces F 1, F2, Fgrav, and Faxle, is the torque about the axle positive (+), negative (-), or zero (0)?
For equal masses m are located at the corners of a square of side L, connected by essentially massless rods. Find the rotational inertia of this system about an axis (a) that coincides with one side and (b) that bisects two opposite sides.
A roller has a mass of 1,081.8kg, a radius of gyration of 107.3 mm, and is lifted by 2 ropes as shown . If each cable has the following tensions TA =3,195.7 N and TB =3,308.5 N, determine (a) the angular acceleration of the roll? Input your answer with 2 decimal places and make sure it is positive.
In the figure, block 1 has mass m1 = 0.460 kg, block 2 has mass m2 = 0.500 kg, and the pulley, which is mounted on a horizontal axle with negligible friction, has radius R = 0.0500 m. Tension T1, the tension force on block 1, is 4.54N. Tension T2, the tension force on block 2, is 4.87N. What is the net torque acting on the pulley? Please note that I know that the answer is to be that taunet = -T1R + T2R Why is the torque associated with T1 negative when it produces a counterclockwise rotation, and the torque associated with T2 positive when it produces a clockwise rotation? I thought that if the direction of rotation was counterclockwise, then the torque is positive, and if the direction was clockwise, then the torque is negative.
In the figure, block 1 has mass m1 = 0.460 kg, block 2 has mass m2 = 0.500 kg, and the pulley, which is mounted on a horizontal axle with negligible friction, has radius R = 0.0500 m. Tension T1, the tension force on block 1, is 4.54N. Tension T2, the tension force on block 2, is 4.87N. What is the net torque acting on the pulley? Please note that I know that the answer is to be that taunet = -T1R + T2R Why is tau1 = -T1R? Why is tau2 = T2R? Is the angle between R and the tension force in each case 90o? And so the formula tau = r F sin theta is simply tau = F r = T R here? What about the sign? Here is where I need help: I do not know how to determine the signs of the torques, that is, how to determine the direction of the rotation (clockwise or counterclockwise). Please explain what is the axis of rotation here, and how to determine the direction of the rotation (clockwise or counterclockwise) for this problem specifically and in general. I know that the convention is that if the…
Object A weighs 64.4 lb and has a radius of gyration of 0.60 ft with respect to a horizontal axis through G, and it rolls without slipping on the incline. The velocity of block B changes from 15.0 fps upward to 6.0 fps upward while moving upward a total distance of 6.00 ft. Calculate the weight of block B.
A rod 2.0 m long that has weights of 10 N and 30 N at its end. At what point should the rod be picked up if it is to have no tendency to rotate? In other words where is the balance point of the rod.
a wheel of radius0.20 m is mounted on a frictionlesshorizontal axle. A massless cordis wrapped around the wheel and attachedto a 2.0 kg box that slides ona frictionless surface inclined at angleu = 20 with the horizontal. Thebox accelerates down the surface at 2.0 m/s2. What is the rotationalinertia of the wheel about the axle?