A bead of mass m is threaded on a metal hoop of radius R. There is a coefficient of kinetic friction µk between the bead and the hoop. It is given a push to start it sliding around the hoop with initial speed vo. The hoop is located on the space station, so you can ignore gravity. 1. Find the normal force exerted by the hoop on the bead as a function of its speed. 2. Find the kinetic frictional force exerted by the hoop on the bead as a function of its speed. 3. Find its speed as a function of time. This involves using the frictional force on the bead in Newton's second law, finding its tangential acceleration on the hoop (which is the time rate of change of its speed) and solving the equation of motion

A bead of mass m is threaded on a metal hoop of radius R. There is a coefficient of kinetic friction µk between the bead and the hoop. It is given a push to start it sliding around the hoop with initial speed vo. The hoop is located on the space station, so you can ignore gravity. 1. Find the normal force exerted by the hoop on the bead as a function of its speed. 2. Find the kinetic frictional force exerted by the hoop on the bead as a function of its speed. 3. Find its speed as a function of time. This involves using the frictional force on the bead in Newton's second law, finding its tangential acceleration on the hoop (which is the time rate of change of its speed) and solving the equation of motion

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

m РАMP3 ** F20 During the online physics lecture, students have presented the problem shown in the figure. The M is at rest on a surface with slope 0. The coefficients of static and kinetic friction are u and.. respectively, The falling hanging mass, m, is connected to the block via a light string using an ideal pulley. Calculate the minimum mass of the block, M, so that that system will remain at re Please use the following variables: M = 3.66 kg, 0 = 25.5°, H = 0.641, u = 0.529, g = 9.80 m/s (PAMP323F20) a) 04.03 kg b) 03.63 kg c) 05.84 kg d) 03.11 kg e) 03.24 kg
.
In the figure, two blocks are connected over a pulley. The mass of block A is 5.20 kg and the coefficient of kinetic friction between A and the incline is 0.180. Angle 0 of the incline is 44.0°. Block A slides down the incline at constant speed. What is the mass of block B? Frictionless, massless pulley B Number i Units
A train car is accelerating with an unknown acceleration. There is a small mass hanging from a string that is attached to the ceiling of the train car. Because the train is accelerating forward, the mass is angled backwards at 6.4 deg. from the vertical. What is the magnitude of the train's acceleration?
You are in charge of a cannon that exerts a force 17100 N on a cannon ball while the ball is in the barrel of the cannon. The length of the cannon barrel is 2.37 m and the cannon is aimed at a 36.7 ◦ angle from the ground. The acceleration of gravity is 9.8 m/s 2 . If you want the ball to leave the cannon with speed v0 = 89 m/s, what mass cannon ball must you use? Answer in units of kg. Answer in units of kg.
A 40 N box is resting on a table when a 20 N force is applied to it horizontally. The coefficients of static and kinetic friction are 0.3 and 0.1, respectively. Which of the following best describes the resulting motion of the box? The motion of the box cannot be determined with the given information. The box accelerates in the direction of the applied force. The box remains at rest. The box moves with a constant velocity in the direction of the applied force.
A 28.0-kg block is connected to an empty 2.74-kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.49 and the coefficient of kinetic friction between the table and the block is 0.30. Sand is gradually added to the bucket until the system just begins to move. Ignore mass of cord. (Figure 1) Figure 28.0 kg 1 of 1 ▼ ✓ Correct Correct answer is shown. Your answer 11.3 kg was either rounded number of significant figures than required for this part. Part B Calculate the acceleration of the system. Express your answer to two significant figures and include the appropria a= x Submit μA Value Provide Feedback Xb MacBook Air X+10n X Incorrect; Try Again; 3 attempts remaining Units Previous Answers Request Answer Pearson ? Copyright © 2022 Pearson Education Inc. All rights reserved. Terms of Use | Privacy Policy | Permissions Contact U
In the figure, two blocks are connected over a pulley. The mass of block A is 11.0 kg and the coefficient of kinetic friction between A and the incline is 0.120. Angle e of the incline is 43.0°. Block A slides down the incline at constant speed. What is the mass of block B? Frictionless, massless pulley Number i Units
The conveyor belt is designed to transport packages of various weights. Each 10-kg package has a coefficient of kinetic friction u. = 0.31. The speed of the conveyor is 4 m/s , and then it suddenly stops. (Figure 1) Part A Determine the distance the package will slide on the belt before coming to rest. Express your answer to three significant figures and include the appropriate units. ? Figure 1 of 1 S = Value Units Submit Request Answer B Provide Feedback
A cannonball has just been shot out of a cannon aimed 45∘ above the horizontal rightward direction. Drag forces cannot be neglected.Which way does drag point? I thought it points opposite of the direction of the motion.
A pendulum is 0.890 m long, and the bob has a mass of 1.00 kg. At the bottom of its swing, the bob’s speed is 1.60 m/s. a. What is the tension in the string at the bottom of the swing? answer in N b. The tension is greater than the weight of the bob because of which of the following? its horizontal component is increasing from zero. the bob has zero acceleration. the bob has a downward acceleration, so the net Fy must be downward. the bob has an upward acceleration, so the net Fy must be upward.
Two small cylindrical plastic containers with flat bottoms are placed on a turntable that has a smooth flat surface. Canister A is empty; canister B is full. Each canister is the same distance r from the center. The coefficient of static friction between the canisters and the turntable is µs. The speed of the turntable is gradually increased. Describe what will happen. Include which container will fall off first or if they will fall off at the same time.