Difference between revisions of "F = MA 2020 (Mock) Problems"

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A small object of mass <math>m</math> is tied to a string of length <math>l</math> and is whirled around a horizontal circle of radius <math>r</math> with a constant speed <math>v</math>, in a conical pendulum. The center of the circle is vertically below the point of support. What is the period of revolution?
 
A small object of mass <math>m</math> is tied to a string of length <math>l</math> and is whirled around a horizontal circle of radius <math>r</math> with a constant speed <math>v</math>, in a conical pendulum. The center of the circle is vertically below the point of support. What is the period of revolution?
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==Problem 4==
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<math>2</math> blocks are connected by a massless string which slide down an inclined plane having an angle of inclination of <math>37^\circ</math>.

Revision as of 15:12, 8 July 2020

Problem 1

Initially at rest, $2$ masses $3m$ and $5m$ hang on $2$ ends of a massless rope on a massless, smooth pulley and the mass $3m$ hangs $l$ feet above the ground. Once the system is released, what is the speed of the $3m$ block when it strikes the ground?


Problem 2

An equilateral triangle has a side length of $s$. How high above the base of the triangle the center of mass of the triangle located?


Problem 3

A small object of mass $m$ is tied to a string of length $l$ and is whirled around a horizontal circle of radius $r$ with a constant speed $v$, in a conical pendulum. The center of the circle is vertically below the point of support. What is the period of revolution?


Problem 4

$2$ blocks are connected by a massless string which slide down an inclined plane having an angle of inclination of $37^\circ$.