College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Item 20 Constants The mechanism shown in the figure (Figure 1) is used to raise a crate of supplies from a ship's hold. The crate has total mass 61 kg. A rope is wrapped around a wooden cylinder that turns on a metal axle. The cylinder has radius 0.35 m and a moment of inertia I = 2.5 kg · m? about the axle. The crate is suspended from the free end of the rope. One end of the axle pivots on frictionless bearings; a crank handle is attached to the other end When the crank is turned, the end of the handle rotates about the axle in a vertical circle of radius 0.12 m, the cylinder turns, and the crate is raised. Part A What magnitude of the force F applied tangentially to the rotating crank is required to raise the crate with an acceleration of 1.40 m/s? (You can ignore the mass of the rope as well as the moments of inertia of the axle and the crank.) Express your answer in kilonewtons. ? kN F = Submit Request Answer Next > Provide Feedback Figure 1 of 1> J0.12 m MacBook Air DD F11 F12 F10…arrow_forwardA 4kg wheel with a radius of 0.3m and a rotational inertia of I = (2/3)mr^2 has an initial translational kinetic energy of 50J. The wheel experiences a 4Nm torque that slows the wheel down for 0.5 seconds. What is the magnitude of the wheel’s final linear velocity?arrow_forwardYour grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.540 m and mass M = 100 kg. In operation, the wheel rotates at 45.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s. You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction (?k) between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 65.0 N. What If? If your grandmother instead chooses to press…arrow_forward
- A 1450 kg disc with radius 3.0 m is rotating at 1500 rev/min when an 925 m·N braking torque is applied to the wheel. How long does it take for the disk to come to rest?arrow_forwardA 34.0 kg wheel, essentially a thin hoop with radius 1.50 m, is rotating at 250 rev/min. It must be brought to a stop in 11 s. How much work must be done to stop it? What is the required average power?arrow_forwardA cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:arrow_forward
- In the figure, a wheel of radius 0.234 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.586 kg-m2. A massless cord wrapped around the wheel's circumference is attached to a 4.00 kg box. The system is released from rest.When the box has a kinetic energy of 4.00 J, what are (a) the wheel's rotational kinetic energy and (b) the distance the box has fallen? Assume free-fall acceleration to be equal to 9.81 m/s2. M (a) Number Units (b) Number Unitsarrow_forwardIn the figure, the block has mass m=0.45 kg and the pulley is on a frictionless horizontal axle with radius R=5.35 cm. When released from rest, the cylindrical pulley makes 10 full turns in 4.57 seconds as the block goes down. Find the rotational inertia of the pulley.arrow_forwardIn the figure, two 6.90 kg blocks are connected by a massless string over a pulley of radius 1.10 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.900 rad in 148 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number i Units (b) Number Units (c) Number Units (d) Number Units >arrow_forward
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