**Physics Problem Description**A solid 0.7350 kg ball rolls without slipping down a track toward a vertical loop of radius \( R = 0.8950 \) m. What minimum translational speed \( v_{\text{min}} \) must the ball have when it is at a height \( H = 1.353 \) 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 \( R \). Use \( g = 9.810 \, \text{m/s}^2 \) for the acceleration due to gravity.\[ v_{\text{min}} = \quad \text{m/s} \]---**Diagram Explanation**The diagram accompanying the problem illustrates a track with a ball positioned on it. The track includes an upward slope leading into a loop. The loop is depicted as a circle with radius \( R \). The height \( H \) is marked with a vertical line from the bottom of the loop to the point on the track where the ball is released. There is also a label indicating that the figure is not to scale. The diagram visually represents the situation described in the text, showing the ball's starting position and the configuration of the loop.

Answered: Image /qna-images/answer/2506a382-0c74-4844-b4d5-7ad161c6af4c.jpg

A solid 0.7350 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.8950 m. What minimum translational speed vmin must the ball have when it is a height H = = 1.353 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 R. Use g = 9.810 m/s? for the acceleration due to gravity.

A solid 0.7350 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.8950 m. What minimum translational speed vmin must the ball have when it is a height H = = 1.353 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 R. Use g = 9.810 m/s? 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 particle is moving in a circle of radius 0.40 m. At an instance when the angular speed is 2.0 rad/s and the angular acceleration is 5.0 rad/s/s. What is the particle’s tangential speed?
A 234 kg boat is negotiating a circular turn (radius = 33.1 m) around a buoy. During the turn, the engine causes a net tangential force of magnitude 995 N to be applied to the boat. The initial tangential speed of the boat going into the turn is 20.6 m/s. Find the angular velocity after 2.5 seconds. Use g=9.8
An empty cylindrical barrel is open at one end and rolls without slipping straight down a hill. The barrel has a mass of 25.0 kg, a radius of 0.325 m, and a length of 0.650 m. The mass of the end of the barrel equals a fourth of the mass of its side, and the thickness of the barrel is negligible. The acceleration due to gravity is g = 9.80 m/s?. What is the translational speed vf of the barrel at the bottom of the hill if released from rest at a height of 19.0 m above the bottom?
The answer is supposed to be v=2.56m/s but I'm not sure how to write out the problem.
3. A telephone pole has been knocked over by the wind so that it makes an angle of 0 with the vertical. The wind has stopped blowing and the pole is to be cut down as shown. nail L cut Once the cut is across most of the thickness of the pole, the pole begins to tip over. As the pole tips, the bottom of the pole stays attached to the base by the remaining part of the pole that was not cut (but the torque from the base on the tipping pole is negligible). There is a nail (of negligible mass) on the pole located a distance x. The length of the pole from the cut to the top is L. Remember that the moment of inertia of a stick of mass m and length L about its end is mL?.
A turntable 46.0 cm in diameter diameter starts from rest, and rotates at 68.0 rpm at its first complete revolution with constant angular acceleration. If it maintains the same acceleration, a) what is the rotational speed at time 34.0 seconds? b) what is the tangential speed of a point 10 cm from the edge of the turntable at time 34.0 seconds?
R M A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle 0 = 30°. The sphere has mass M = 8 kg and radius R = 0.19 m . The coefficient of static friction between the sphere and the plane is u = 0.64. What is the magnitude of the frictional force on the sphere? Ff =
Problem 7 : A sphere of radius r0 = 24.0 cm and mass m = 1.20kg starts from rest and rolls without slipping down a 33.0∘ incline that is 15.0 m long. Part A Calculate its translational speed and rotational speed when it reaches the bottom. Does the answers depend on mass or radius of the ball? Part C What is the ratio of translational to rotational kinetic energy at the bottom?(Ktr/Krot=?) Does the answer depend on mass or radius of the ball?
A small sphere of radius r = 1.50 cm rolls without sliding on the track shown in the figure, whose radius is R_0 = 26.0 cm. The sphere begins to roll at a height R_0 above the bottom of the track. When it leaves the track, after traveling through an angle of 135 °, as shown in the figure, what will its speed be?
DELTA A 4.8 in. diameter grinder wheel is accelerating from rest with a constant angular acceleration of a = 71.2 rad/s^2. At some time t, the outside edge of the wheel has a linear speed of s = 11.4 in./s. At that same time t, what is the net magnitude of the acceleration vector for a point on the outside edge of the wheel? (answer in in./s^2. Note that the diameter stays constant)
Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.540 m and mass M = 100 kg. In operation, the wheel rotates at 45.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s. You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction (?k) between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 65.0 N. What If? If your grandmother instead chooses to press…
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 1.10 m and a rotational inertia of 429 kg-m? about the axis of rotation. A 54.4 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.33 rad/s when the student starts at the rim, what is the angular speed when she is 0.404 m from the center? Number Units rad/s