Question

14. When two dispalcements represented by
Yo = asin(wt) and y, = b cos(at) are superimposed
the motion is :
1
a
()
(1) simple harmonic with amplitude
b
(2) simple harmonic with amplitude Va? + b2
(a+b)
(3) simple harmonic with amplitude
2
(4) not a simple harmonic
​

Answer 1

Explanation:

Answer

ω=

T

2π

=

16

2π

=

8

π

rad/s

If at t=0, particle passes through its mean position (x=Asinωt) with maximum speed its v−t equation can be written as

v=ωAcosωt

Substituting the given values, we have

2=(

8

π

)Acos(

8

π

)(2)

∴ A=

π

16

2

m=7.2 m