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Pendulum/Simple Harmonic Motion, what is its energy of motion? 
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#1
Nov1611, 02:09 AM

P: 11

A 1.2 kg mass attached to a spring oscillates with an amplitude of 5.1 cm and a frequency of 2.1 Hz. What is its energy of motion?
I just have to use KE=1/2mv^2 right? do I have to involve the amplitude? 


#2
Nov1611, 02:15 AM

P: 950

In SHM the KE is continually varying. So you are asking for the MAX KE, right?



#3
Nov1611, 02:28 AM

P: 11

I just need the energy of motion, so i guess that means KE max?



#4
Nov1611, 02:50 AM

P: 1,506

Pendulum/Simple Harmonic Motion, what is its energy of motion?
The KE max will be the total energy of the motion.
You are correct to use KE=1/2mv^2 but you need an expression for vmax in simple harmonic motion. You will need to find the spring constant (stiffness) and use this to find the max velocity. Do you know these equations? 


#5
Nov1611, 02:52 AM

P: 950

What is the max linear velocity in SHM?



#6
Nov1611, 03:02 AM

P: 11

Vmax=Aw



#7
Nov1611, 03:04 AM

P: 950

Then you can find max ke = (1/2)mv^2 and use v = Aw



#8
Nov1611, 03:15 AM

P: 11

thank you sooo muuuch!!!!! :D



#9
Nov1611, 03:19 AM

HW Helper
P: 2,318




#10
Nov1611, 03:27 AM

P: 11

the problem doesnt say



#11
Nov1611, 03:55 AM

HW Helper
P: 2,318

The total of them at any time will be constant. That might be what is meant by the energy of the motion. Even if the situation is horizontal [so no change in gravitational potential energy] there is a steady interchange between elastic potential energy and kinetic energy. 


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