A mass m moves in a circle on a smooth horizontal plane with velocity vo at a radius Ro. The mass is attached to a string which passes through a smooth hole in the plane as shown in Fig. 1.9. ("Smooth" means frictionless.) (a) What is the tension in the string? (b) What is the angular momentum of m? (c) What is the kinetic energy of m? (d) The tension in the string is increased gradually and finally m moves in a circle of radius Ro/2. What is the final value of the kinetic energy? RO

A mass m moves in a circle on a smooth horizontal plane with velocity vo at a radius Ro. The mass is attached to a string which passes through a smooth hole in the plane as shown in Fig. 1.9. ("Smooth" means frictionless.) (a) What is the tension in the string? (b) What is the angular momentum of m? (c) What is the kinetic energy of m? (d) The tension in the string is increased gradually and finally m moves in a circle of radius Ro/2. What is the final value of the kinetic energy? RO

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

Using air pressure, the 1.1-kg ball forced to move through the tube lying in the horizontal plane and having the shape of a logarithmic spiral as shown in (Figure 1). Figure < 1 of 1 r= 0.2e0.10 F=6N If the tangential force exerted on the ball due to air pressure is 6 N, determine the rate of increase in the ball's speed at the instant = π/2. Express your answer to three significant figures and include the appropriate units. at = Part B O μÁ Submit Request Answer 0 = Value Units What direction does the tangential force act in? Express your answer in degrees to three significant figures. ? VAΣo↓ vec ?
Now let's use conservation of energy to calculate the kinetic energy of a rotating cylinder. Specifically, we will employ the work-energy theorem to relate the work done on the cylinder to the change in its rotational kinetic energy. A light, flexible, nonstretching cable is wrapped several times around a winch drum-a solid cylinder with mass 50 kg and diameter 0.14 m that rotates about a stationary horizontal axis turning on frictionless bearings (Figure 1). The free end of the cable is pulled with a constant force of magnitude 9.7 N for a distance of 2.0 m. It unwinds without slipping, turning the cylinder as it does so. If the cylinder is initially at rest, find its final angular velocity w and the final speed v of the cable. Figure F 2.0 m 50 kg 1 of 2 SET UP (Figure 2) shows our sketch for this problem. SOLVE No energy is lost due to friction, so the final kinetic energy K = Iw² of the cylinder is equal to the work W = F's done by the force (of magnitude F, pulling through a…
1. 2. The figure shows multiple solid disks with uniform mass distribution that are spinning about its center. The mass of the disks are the same, but they have different radii, as shown. Rank the disks by the amount of energy needed to spin the disk so that the outer edge of the disk has linear velocity v, from greatest to least. Explain your reasoning. A B C Two students are discussing their previous answer. Student 1: I ranked the largest disk as the greatest amount of energy needed because it has the greatest moment of inertia. Student 2: But, I think we need to also include the angular velocity. Since w=v/r, the angular velocity is smaller for the larger disk and I think all three require the same amount of energy. Do you agree or disagree with either or both of these students? Briefly explain your reasoning.
Show the complete solution. Please make sure that your handwritten is readable. Thank you.
hi... This question is about analytical mechanics. The question is displayed in the uploaded photo. Thank you very much for your help.
Can you show me how to solve this?
In the figure below, a solid brass ball of mass m will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular motion has radius R, and the ball has radius r << R. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? 27R 10 h = (b) If the ball is released at height = 6R, what is the magnitude of the horizontal force component acting on the ball at point Q? 50mg 7 F =
a) What is the period of rotation of Venus in seconds? (The period of rotation of Venus in hours is 5,832.5 hr.) Answer in seconds (b)What is the angular velocity (in rad/s) of Venus? (Enter the magnitude.) Answer in rad/s (c) Given that Venus has a radius of 6.1 ✕ 106 m at its equator, what is the linear velocity (in m/s) at Venus's surface? (Enter the magnitude of the linear velocity at the equator.) Answer on m/s
For F = 51 lb, compute the combined moment of the two forces about (a) point O, (b) point C, (c) point D. The moments are positive if counterclockwise, negative if clockwise.
show work
A winch with a drum of radius R pulls a block at constant speed up a rough incline. The winch is attached to the block with a lightweight, thin cable that runs over a massless roller pulley that turns without friction, as shown. The mass of the block is M, the coefficient of kinetic friction between the block and the incline is μ, and the angle of the incline is 0. Let g denote the acceleration due to gravity. Derive an algberaic expression for the power P supplied by the winch if the winch turns through a total angular displacement during a time interval At. P =
Using the data for a falling mass of 0.0183 kg, calculate the uncertainty on the moment of inertia (in g·m2) for the single disc (disc 1), taking into consideration the given uncertainty on the angular acceleration and torque. Round your answer to 4 decimal places. Please answer the second part using the 0.0183kg.