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Grade: 11
        
A body is oscillating simple harmonically with Tequal to 2 second. time that would it take for its kinetic energy o decrease from Kmax to  75% of Kmax is
10 months ago

Answers : (1)

Arun
22576 Points
							 

TE of an SHM is given as 1/2m(wA)^2

K.E for any SHM can be written as 1/2 m(wA)^2 cos^2(wt). even if u dont know this dont worry, u can easily generalise this from the energy of spring-mass system.

so for 75% KE,

3/4 * 1/2 m(wA)^2=1/2 m(wA)^2 cos^2(wt)

=> ((3)^1/2)/2=cos(wt)

we get , wt = pi / 6

w=2 pi/T

t=T/12 = 1/6 seconds.

 
hope it helps
 
Regards
Arun
10 months ago
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