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A mass m slides on a frictionless table, whirling at the end of the string of an ever-shortening length r(t)=r0-v0t. Find the angular speed of the mass, w(t)=theta-dot(t), given that at t=0, w(0)=w0. What is the tension in the string T(t).

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Patrina Schowalter
Patrina SchowalterLv2
18 Sep 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A mass m whirls around on a string which passesthrough a ring, as shown. Neglect gravity. Initially the mass is adistance r0 from the center and is revolving at angular velocity?0. The string is pulled with constant speed V starting at t=0 sothat the radial distance to the mass decreases.

(a) Draw a force diagram and obtain a differential equationfor ?.
(b) Solve this equation to determine ?(t).
(c) Determine the force needed to pull the string.
Show transcribed image text

Blocks of mass m1=0.13 kg and m2=0.34 are connected by a masslessstring that slides over a frictionless pulley. Mass m1 slides on ahorizontal, frictionless surface. Mass m2 is released when theblocks are at rest.

http://www.webassign.net/userimages/150439?db=v4net

(a) Assume the pulley is massless. What is the magnitude of theacceleration of m1 and the tension in the string?
a=
T=


(b) Now, lets say the pulley has a mass of 0.26 kg and can bemodeled as a hollow, thin cylinder of radius R=0.011 m. Find theacceleration of m1, the tension of the upper section of string, andthe tension of the lower section of string. You should check thatyour answers for these three quantities agrees with the answers topart a in the limit that the mass of the pulley goes to zero. Also,it is worth noticing that for a hollow cylinder of radius Rrotating about its axis, every bit of mass is a radius R from theaxis of rotation.
a=
Tupper=
Tlower=

A block with mass M stays at rest in an incline surfacewithoutfriction. It's attached by a string to a wall.


a) what is the magnitude of tension T of the string?

b) if the string brakes, what is the magnitude oftheacceleration of the block when it slides along deinclinesurface?

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