A solid 0.6950 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.6550 m. What minimum translational speed vmin must the ball have when it is a height H = 0.9727 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than H the loop radius R. Use g = 9.810 m/s2 for the acceleration due to gravity.

A solid 0.6950 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.6550 m. What minimum translational speed vmin must the ball have when it is a height H = 0.9727 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than H the loop radius R. Use g = 9.810 m/s2 for the acceleration due to gravity.

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

A Texas cockroach walks from the center of a circular disk (that rotates like a merry-go-round without external torques) out to the edge at radius R. The angular speed of the cockroach–disk system for the walk is (va = 5.0 rad/s and vb = 6.0 rad/s). After reaching R, what fraction of the rotational inertia of the disk does the cockroach have?
A hollow ball of mass m = 2.0 kg and radius r rolls without slipping along a loop-the-loop track, with a height of h and radius R. The ball is released from rest somewhere on the straight section of the track. a. From what minimum height h above the bottom of the track must the ball be released in order that it not leave the track at the top of the loop? (height of loop is 2R) The Radius is 10.0 m b. What is acting as a radial force at the top of the loop? (gravity, Tension ???) I hollow ball = (2/3) mr² gninub 21 noitu boxil bns brossz sri gnitub suprot sit zomit auol (C doum asmuomo (3 2R di grois un 12 What was the potential energy at the top of mass m? Houm
A wheel 2 m in diameter lies in a vertical plane and rotates with a constant angular acceleration of 4 rad/s2. The wheel starts at rest at t =0, and the radius vector of point P on the rim makes an angle of 57.3o with the horizontal at this time. At t=2s, find the angular speed of the wheel
A solid 0.6350 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.6350 m. What minimum translational speed ?min must the ball have when it is a height ?=0.9944 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius ?. Use ?=9.810 m/s^2 for the acceleration due to gravity.
A 330 N sphere 0.20 m in radius rolls, without slipping 6.0m down a ramp that is inclined at 37 degrees with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?
A ball (in the form of a spherical shell which has a moment of inertia of 2/3 M R^2) rolls down a roof, then falls to the ground. The ball has a mass of 1.65 g and a radius of 15.0 cm. The roof is inclined at 20.0 degrees and the ball rolls a distance of 3 meters along the roof before falling off. a) What is the angular speed of the ball at the moment it leaves the roof? b) If the distance from the end of the roof to the ground is 2.50 m, how many revolutions does the ball make before it hits the ground?
A small 700 g ball on the end of a thin, light rod is rotated in a horizontal circle of radius 2.5 m. Calculate the torque needed to keep the ball rotating at a constant angular speed if the air resistance experienced by the ball is 0.0200 N. Ignore the rods moment of inertia and air resistance. Hint: Treat the small ball as a particle.
A small object with mass 4.15 kg moves counterclockwise with constant angular speed 1.30 rad/s in a circle of radius 3.30 m centered at the origin. It starts at the point with position vector 3.301 m. Then it undergoes an angular displacement of 9.30 rad. (a) What is its new position vector? m (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? ---Select--- ✓ at (c) What is its velocity? m/s (d) In what direction is it moving? (Give a negative angle.) • from the +x direction. (e) What is its acceleration? m/s² (f) What total force is exerted on the object? N
A yo‑yo with a mass of 0.0850 kg and a rolling radius of r=1.60 cm rolls down a string with a linear acceleration of 5.20 m/s2. Calculate the tension magnitude ? in the string and the angular acceleration magnitude ? of the yo‑yo.
In the figure, a solid cylinder of radius 6.0 cm and mass 14 kg starts from rest and rolls without slipping a distance L = 7.9 m down a roof that is inclined at angle 0 = 35°. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roof's edge is at height H = 3.8 m. How far horizontally from the roof's edge does the cylinder hit the level ground? (a) Number L (b) Number i 0 H 119.737 ! Units rad/ Units 3
A large disk with a 2.4 m radius rotates from rest with a constant angular acceleration of 0.30 rad/s2. What are the linear speed and the magnitude of the acceleration of a point on the rim 2.5 s after it started rotating?
A blade of a ceiling fan has a radius of 0.500 m is rotating about a fixed axis with an initial angular velocity of 0.200 rev/s. The angular acceleration of the blade is 0.850 rev/s^2. Determine the magnitude of the resultant acceleration of a point on the tip of the blade at t = 5.00 s. Choose the answer. a. aR = 157.65 m/s^2 b. aR = 539.64 m/s^2 c. aR = 390.89 m/s^2 d. aR = 186.73m/s^2