83. A solid sphere of mass mand radius rrolls without slip- ping along the track shown in Figure P10.83. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop of radius R, much larger than r. (a) What is the minimum value of h (in terms of R) such that the sphere completes the loop? (b) What are the force components on the sphere at the point P if h = 3R? Solid sphere of mass m and radius r<< R. R

83. A solid sphere of mass mand radius rrolls without slip- ping along the track shown in Figure P10.83. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop of radius R, much larger than r. (a) What is the minimum value of h (in terms of R) such that the sphere completes the loop? (b) What are the force components on the sphere at the point P if h = 3R? Solid sphere of mass m and radius r<< R. R

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

Related questions

Q: In the figure, a small 0.433 kg block slides down a frictionless surface through height h = 0.304 m…

Q: 6. A simple pendulum of length L = 100 cm is shown in Fig. P6.16. The angular dis- placement 0(t) in…

A: ) comparing with, angular amplitude=0.5 here n=frequency n=0.498 T=2 seconds b) time required…

Q: A solid uniform cylinder of radius R is wrapped with very thin (assume massless) string and i…

Q: A solid cylinder with radius 0.160 mm is mounted on a frictionless, stationary axle that lies along…

A: Given:- R= 0.16 m F= 5 N Slope of θ vs t = m= 16 rad/s2 Analysis: The slope of angular…

Q: A solid 0.7350 kg ball rolls without slipping down a track toward a vertical loop of radius R =…

Q: A solid 0.6950 kg ball rolls without slipping down a track toward a vertical loop of radius R =…

Q: A uniform disk with mass 40.0 kg and radius 0.200 m is pivoted at its center about a horizontal,…

A: Mass of the disk , M = 40 kg Radius of the disk , R = 0.2 m Tangential force , F = 30 N To find =…

Q: A uniform solid sphere, of mass M = 6.00 kg and radius R = 25 cm, is rolling without slipping from…

A: Given, Mass of sphere,m=6 kg Radius,R=25 cm=0.25 m Angle of inclination,θ=30° Height,h=1.2 m

Q: In the figure, a small 0.425 kg block slides down a frictionless surface through height h = 0.678 m…

A: Apply the energy conservation equation between the top and the bottom of the curved surface to…

Q: A 3.0 x 102 g solid, uniform sphere of radius 1.5 cm is released from rest at the top of a ramp.…

A: Let m and r be the mass and radius of the uniform solid sphere, h1 and h2 be the height of the…

Q: -0.658 kg and length d=2.78 m. The rod pivots about point O through angle before momentarily A₂ 1…

Q: Malar is playing with a toy car track set and has made a vetical loop she wants to send a 150-gram…

A: Given of car =150 g Height of which she releases radius o loop =20 cm

Q: A 3.7-kg sphere is suspended by a cord that passes over a 1,7-kg pulley of radius 3.4 cm. The cord…

A: A.)f=ma=f=kx add both masses=5.4kg f=5.4×9.81= 52.97N 52.97=86x therefore, x=.6159m…

Q: A yo-yo-shaped device mounted on a frictionless rotation axis is used to lift a 30 kg box. The outer…

A: Given: Force G : 140 N Mass of block m : 30 kg Acceleration of the block a = 0.8 m/s2 Inner radius r…

Q: A uniform rigid rod initially at rest has length L = 100 cm and mass MR = 0.500 kg. The rod hangs…

A: First, determine the moment of inertia (I) of the structure by using the individual moments (IR and…

Q: A uniform disk with massm = 8.75 kg and radius R = 1.41 m lies in the x-y plane and centered at the…

Q: A 3.4-kg sphere is suspended by a cord that passes over a 1.3-kg pulley of radius 3.6 cm. The cord…

Q: In the figure, a small block of mass m = 0.021 kg can slide along the frictionless loop-the-loop,…

A: Given data: Mass of the block, m=0.021 kg Radius of the loop, R=13 cm=0.13 m Height from which the…

Q: IP A popular ride at amusement parks is illustrated in the figure ( Eigure 1). In this ride, people…

A: Centripetal force (Fc in N) and acceleration (ac in m/s2): Centripetal force is the force that…

Q: A hollow spherical shell has mass 8.50 kg and radius 0.240 m. It is initially at rest and then…

A: Given: mass = m=8.50 kg. radius = r = 0.240 m. angular acceleration = 0.875 rad/s2 we have to…

Q: In the construction of railroads, curvature of the track is measured in the following way. First a…

A: We have been given that dθ = angle between two tangents = 1.200let L be the distance between two…

Q: A ring of radius R is released from rest to roll down a rough incline (assuming there's no energy…

A: Radius of ring is Initial height of the ring is Final height of the ring is Initially, the ring is…

Q: In the figure, a small 0.473 kg block slides down a frictionless surface through height h = 1.06 m…

Q: A circular cone with constant density 1, base radius 6, and height 8 is placed so the axis of…

Q: Your answer is partially correct. Try again. In the figure, a small 0.109 kg block slides down a…

Q: In the figure, a uniform sphere of mass m = 1.76 kg and radius r = 0.232 m is held in place by a…

Question

83. A solid sphere of mass mand radius rrolls without slip-
ping along the track shown in Figure P10.83. It starts
from rest with the lowest point of the sphere at height h
above the bottom of the loop of radius R, much larger
than r. (a) What is the minimum value of h (in terms of
R) such that the sphere completes the loop? (b) What
are the force components on the sphere at the point P
if h = 3R?
Solid sphere of mass m
and radius r<< R.
R

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

85. A uniform cylinder of mass M and radius R is initially at rest on a rough horizontal surface. A light strine wrapped around the cylinder and is pulled straight up with a force T whose magnitude is 0.80 MB- As a reser the cylinder slips and accelerates horizontally. The moment of inertia of the cylinder is I =MR- and the coefficient of kinetic friction is 0.40. %3D 2 a Fr (0.4 VFg On the circle above, show all the forces applied on the cylinder. b. In terms of g, determine the linear acceleration, a of the center of the cylinder. Determine the angular acceleration, a of the cylinder. d. Explain the difference in results of linear acceleration a, and Ra. 20 ar velocityr velocity ? gular ar dis (2) lov of
A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 4.30 mm, and he operates it at 2.50 104 rad/s. (a) Determine the tangential speed, in m/s, of the rim of the disk. m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 280 m/s. What is the period of rotation, in seconds, of the disk now? s
A 3.9-kg sphere is suspended by a cord that passes over a 1.5-kg pulley of radius 3.3 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. wwww (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? m (b) Find the speed of the sphere after it has fallen 25 cm. m/s
yo-yo with an inner cylinder of r = 3.5 cm and outer radius of R = 6.50cm is at rest on a theta = 30 degree incline. Itis held in place by friction and the tension in the string that is wrapped around its inner cylinder, as shown in the figure. Assume that the positive x-direction points down the incline. Determine the friction force if the mass of the yo-yo is 420g.
A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 4.10 mm, and he operates it at 2.25 104 rad/s. (a) Determine the tangential speed, in m/s, of the rim of the disk. m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation, in seconds, of the disk now? s
A uniform disk with mass m = 8.75 kg and radius R = 1.41 m lies in the x-y plane and centered at the origin. Three forces act in the +y- direction on the disk: 1) a force 315 N at the edge of the disk on the +x-axis, 2) a force 315 N at the edge of the disk on the -y-axis, and 3) a force 315 N acts at the edge of the disk at an angle 0 = 38° above the -x-axis. +y +x F3 IF, F2
The figure below shows a human arm that weighs 41.10 N. The arm is extended outward and is motionless. The gravitational force Fg on the arm acts at point A, a distance of 0.2900 m from the shoulder joint, which is represented by point O. The shoulder pushes down and to the right on the humerus bone of the arm with a force Fs at point O, at an angle ? as shown. The deltoid muscle pulls back on the arm toward the shoulder with a tension force Ft. This tension force acts at a point 0.08000 m to the right of point O, and it is directed up and to the left, at a 12.00° angle with respect to the horizontal. An arm is extending horizontally to the right with a cutout that shows muscles in the upper arm. A horizontal dashed line extends along the bottom of the muscles and another along the top. Point O is labeled at the left end of the arm on the lower horizontal line. An unlabeled point lies 0.080 m horizontally to the right of point O. Point A lies 0.290 m horizontally to the right of point…