A bucket is connected to a rope wound around a solid cylindrical axle as shown. • Draw free body diagrams for the bucket and the axle. • Find an expression for the torque applied to the axle in terms of the acceleration of the bucket. • How much time does it take for the bucket to reach the floor? (a) Axle a R=2.0 cm M=1.0 kg Yo=1.0 m Vo=0m/s m=2.0 kg y₁ = 0m

A bucket is connected to a rope wound around a solid cylindrical axle as shown. • Draw free body diagrams for the bucket and the axle. • Find an expression for the torque applied to the axle in terms of the acceleration of the bucket. • How much time does it take for the bucket to reach the floor? (a) Axle a R=2.0 cm M=1.0 kg Yo=1.0 m Vo=0m/s m=2.0 kg y₁ = 0m

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 60PQ

See similar textbooks

Similar questions

A 2.95 kg grinding wheel is in the form of a solid cylinder of radius 0.100 m. Part A What constant torque will bring it from rest to an angular speed of 1200 rev/min in 2.5 s? Express your answer with the appropriate units. T = Value Units Submit Request Answer • Part B Through what angle has it tumed during that time? Express your answer in radians. Iνα ΑΣφ rad Submit Request Answer
ride in a form of a large vertical cylinder that spins about its axis. When it spins fast enough, persons inside are held up against the wall and the floor drops away. The static coefficient of friction is 0.7. The radius of the tank, R, is 5m. 1) Find the minimum angular velocity necessary to keep the person from falling. 2) If the wall of the tank can stand the maximum force of 2000 N before it is broken. Find the maximum mass of the rider that can go on this ride.
A box, mass m, = 0.250 kg is tied to a rope wrapped around a pulley as shown on the right. The pulley is essentially a disk with mass m, =1.00 kg and radius 4.00 cm. As the box falls, the rope unwinds without slipping and spins the pulley. a) Draw a free-body diagram for the pulley and box. m b) Write down Newton's second law appropriate for the pulley and box. c) Find the acceleration of the block. d) Find the tension in the rope.
A solid cylinder on a horizontal table is connected to a block via a light, rigid string. Draw free body diagram for each of the object cylinder = mass 1.2 kg, radius 5.0 cm pulley = mass 0.80 kg, radius 10.0 cm block = mass 200 g 1) list the dynamic and kinematic equations that related to all three objects. 2) find the acceleration of the falling block 3) find the angular acceleration of the cylinder and the friction force on it
A potter's wheel-a thick stone disk of radius 0.500 m and mass 125 kg-İs freely rotating at 50.0 rev/min. The potter can stop the wheel in 6.00 s by pressing a wet rag against the rim and exerting a radially inward force of 71.0 N. Find the effective coefficient of kinetic friction between the wheel and rag. Need Help? Watch It Additional Materials
Now that you know how to calculate the torque using components of vector r, plug in values from a trial of your choice. The mass of the weights in each trial are: Trial 1,3,5,6: 4.54 kg Trial 2,4,6,8: 15.95 kg Hint: How can you use the tools available to measure the perpendicular component of r? (Ruler, Protractor, Vertical Line)
For each of the situations below, determine which forms of Newton's second law (N2L) are appropriate: N2L rotation, N2L translation, either, or both. You are asked to find the angular acceleration of a low-friction pulley with a given force exerted on it. You are asked to find the angular acceleration of a low-friction pulley due to a mass hanging from it by a rope. You are asked to determine the maximum height of a spinning ball that is thrown upwards. You are asked to calculate the time it takes a ball to roll down an inclined plane. You are asked to find the tangential acceleration of a small satellite in a circular orbit that results from it firing its thruster. You are asked to determine the orbital period of a small satellite around Earth.
turn * In a typical kitchen blender, when you it off, its angular velocity decreases final uniformly from initial 570 rev/min to a 220 rev/min in 2,10 seconds. (A) Find the angular acceleration in rev/s². Express answer in REVOLUTION per second squared. (B) Find the number of revolutions (or angular displacement made by the kitchen blender in the 2.10 S interval. Express answer as a number in revolutions. Now find the time for the blender to decellerate to come to rest if its angular acceleration remains constant at the value of part A. Refer also to pan A for the angular velocity that the blender is left rotating with. Express answer in seconds
a) Write a vector equation to define torque. (State the meaning of each variable) b) Write an equation for Newton’s second law for rotational motion. (State the meaning of each variable)
The spool has a mass of 90 kg and a radius of gyration ka = 0.3 m. (Figure 1) Part A If the coefficients of static and kinetic friction at A are us = 0.2 and u = 0.15, respectively, determine the angular acceleration of the spool if P = 620 N Express your answer to three significant figures and include the appropriate units. HÀ rad a = 12.60 s- Submit Previous Answers Request Answer Figure G 250 mm 400 mm A
Figure 4.0 cm 30 N 20 N 1 of 1 Part A In (Figure 1), what is the net torque about the axle? Express your answer in newton-meters. ► View Available Hint(s) T= Submit Provide Feedback ΠΙ ΑΣΦ 6 ? N.m