19 L A O R A T O R Y 1 9 Te Pendulum-Approximate Simple Harmonic Motion PRE-LABO

Question

19 L A O R A T O R Y 1 9 Te Pendulum-Approximate Simple Harmonic Motion PRE-LABORATORY ASSIGNMENT 1. What is the requirement for a force to produce simple harmonic motion? 2. A particle of mass M-1.35 kg is subject to a force F--0.850x, where x is the particle from equilibrium. The units of force Fane newtons, and the units of x are meters. Wat is the period T of its motion? Show your work T= 3. Asimple pendulum of length L=0800 m has a mass M-0.250 kg, what is the tension in the string when it is at an angle -125? Show your work. 4. In Question 3, what is the component of the weight of M that is directed along the arc of the motion of M? Show your work o 2013 Cengage Leaning. Al Rights Reserved. May not be scanned, copled or duplicated, or posted to a publidly accesable weboie, n whole or in pat 225

Explanation / Answer

1.Force must be proportional to distance or F x or F =kd^2(x)/dt^2

2.w is given as

w=sqrt(0.85/1.35)=0.79

T=2*pi/w=7.9 sec

3.Let the tension be T

Tcos(theta)=mg

we got T=2.5 N

4.component=mgsin(theta)=0.53 N

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