physic lab, physics homework help

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answer the questions as the guidlines that I am attaching

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This is Simple harmonic motion assignment. Take a look on it I am writing question 2 of torque assignment, an will upload with in 20 minutes.

1. What is the requirement for a force to produce simple harmonic motion?

An object executing simple harmonic motion should always acted upon by a force whose magnitude
is proportional to the displacement of the object from the equilibrium, and always opposite to the
direction of motion
If an object is undergoing SHM then the net force on it is proportional to its negative displacement
from equilibrium

2. A particle of mass M = 1.35 kg is subject to a force F = —0.850x, where x is the
displacement of the particle from equilibrium. The units of force F are newtons, and
the units of x are meters. What is the period T of its motion? Show your work

Mass of particle, m = 1.35 kg
The applied force, F = - kx = - 0.850 x
So here the spring constant, k = 0.850 N/m

= 7.9s

3. A simple pendulum of length L=0.800 m has a mass M 0250 kg. What is the tension
in the string when it is at an angle 0 = 12.5°? Show your work.

Given, length of pendulum = L = 0.800m
mass = 0.250kg
θ = 12.5
Tension in the string at an angle from the vertical= T = mg cos θ
Solving for T,
T = (0.250kg) x (9.8m/s2) x cos(12.5)
T = 2.39 N
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.

The component of weight directed along the arc can be find-out by the formula given below:

Component of...


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