A solid sphere (M = 5.0 kg and R = 60 cm ) is rolling down an inclined surface with a height of 2.0 meters and an inclined angle of 25 degrees. 15. find the linear acceleration of the sphere, in m/sec². a. 2.48 b. 2.76 d. 2.96 c. 4.14 16. for the sphere to make pure rotation, find the magnitude of the static frictional coefficient a. 0.466 c. 0.187 Hs b. 0.133 d. 0.155

A solid sphere (M = 5.0 kg and R = 60 cm ) is rolling down an inclined surface with a height of 2.0 meters and an inclined angle of 25 degrees. 15. find the linear acceleration of the sphere, in m/sec². a. 2.48 b. 2.76 d. 2.96 c. 4.14 16. for the sphere to make pure rotation, find the magnitude of the static frictional coefficient a. 0.466 c. 0.187 Hs b. 0.133 d. 0.155

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...

See similar textbooks

Similar questions

A 50.0-kg child stands at the rim of a merry-go-round of radius 2.95 m, rotating with an angular speed of 4.00 rad/s. (a) What is the child's centripetal acceleration? (b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path?(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round? Yes/No
A 50.0kg child stands at the rim of a merry-go-round of radius 2.20m, rotating with an angular speed of 3.25 rad/s. A) what is the child’s centripetal acceleration? M/s^2 B) what is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? C) what minimum coefficient of static friction is required? Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round? Yes or No
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular speed of 3.00 rad/s. (a) What is the child’s centripetal acceleration? (b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? (c) What minimum coefficient of static friction is required? Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular speed of 3.00 rad/s. (a) What is the child’s centripetal acceleration? (Ans : 18.0 m/s2) (b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? (Ans : 900 N) (c) What minimum coefficient of static friction is required? Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round? (Ans : 1.84)
A disk iwth a 0.45 m radius rotates from rest with a constant angular acceleration of 0.24 rad/s2,What angle in degrees has the disked rotated in the first 3.5 s?What is the magnitude of the acceleration of a point on the rim of the disk 3.5 after it started rotating?
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.95 m, rotating with an angular speed of 3.85 rad/s. (a) What is the child's centripetal acceleration? ___________m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? ___________N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round? _____Yes _____No
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular speed of 3.25 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? (c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round? Yes No
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular speed of 3.90 rad/s. (a) What is the child's centripetal acceleration?___m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path?___N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round? Yes or No ____minimum
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.90 m, rotating with an angular speed of 3.65 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?
Note: Because the arguments of the trigonometric functions are unitless in this question, your calculator must be in radian mode if you use it to evaluate any trigonometric functions. When powered up, a disk drive starts at rest and spins up with non-uniform angular acceleration according to the following formula: =asin(bt) where a = 708 radians/s2 and b = 1.74 s-1. This lasts for the first 1.81 seconds, after which the drive does not accelerate. How many meters of disk surface have passed underneath the head in 0.79 seconds?
A simple pendulum with a massless string of length = 40cm and bob of mass m = 1.18kg is released from rest at t = 0s with initial angle theta= 5.80° measured relative to the vertical direction. (a) What angle does the total translational acceleration vector of the bob make with the radial direction at t = 0.34 s? (b) What is the tension in the string at t = 0.42 s?
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular speed of 3.25 rad/s. (a) What is the child's centripetal acceleration? (b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? (c) What minimum coefficient of static friction is required?