SHMHard
Question
Acceleration a and time period T of a body in S.H.M is given by a curve shown below. Then corresponding graph between kinetic KE and time t is correctly represented by
Options
A.
B.
C.
D.
Solution
From the graph, euation of acceleration can be written as
a = - amax cos ωt
∴ velocity can be written is
v = - vmax sin ωt.
KE =
mv2 = 
mv2maxsin2 ωt
Hence the graph is as shown in A
a = - amax cos ωt
∴ velocity can be written is
v = - vmax sin ωt.
KE =
mv2 = mv2maxsin2 ωtHence the graph is as shown in A
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