A horizontal table top is shown to extend righward from a vertical wall. An object of mass m, hangs from a string that passes over a very light fixed pulley P, anchored at the right edge of the table surface. The string connects to a second very light pulley P₂. A second string passes around pulley P₂ with one end attached to the wall and the other to an object of mass m₂ on the frictionless, horizontal table.

A horizontal table top is shown to extend righward from a vertical wall. An object of mass m, hangs from a string that passes over a very light fixed pulley P, anchored at the right edge of the table surface. The string connects to a second very light pulley P₂. A second string passes around pulley P₂ with one end attached to the wall and the other to an object of mass m₂ on the frictionless, horizontal table.

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)...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Consider the following figure.
T₂
(a) If a₁ and a₂ are the accelerations of m₁ and m₂, respectively, what is the relation between these accelerations? (Use any variable or symbol stated above as necessary.)
1
1
a₂ =
(b) Find expressions for the tensions in the strings in terms of the masses m₁
T₁ =
=
a₁
=
m₂
A horizontal table top is shown to extend righward from a vertical wall.
An object of mass m₁ hangs from a string that passes over a very
light fixed pulley P₁ anchored at the right edge of the table surface.
The string connects to a second very light pulley P₂. A second string
passes around pulley P2 with one end attached to the wall and the
other to an object of mass m₂ on the frictionless, horizontal table.
=
(c) Find expressions for the accelerations a₁
and
my
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and m₂
1a₂ in terms of the masses m₁
and
and g.
m2'
and g.

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Step 1: Determine the given data:

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Step 2: a) Determine the relation between accelerations:

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Step 3: b) Determine the tension in the strings:

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Step 4: c) Determine the expression of acceleration:

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