SHMHard
Question
A particle moves along the Z - axis according to the equation z = 5 + 12 cos 
, where z is in cm and t is in seconds. select the correct alternative (s) -
, where z is in cm and t is in seconds. select the correct alternative (s) -Options
A.The motion of the particle is SHM with mean position at z = 5 cm
B.The motion of the particle is SHM with extreme position at z = - 7 cm and z = + 17 cm.
C.Amplitude of SHM is 13cm
D.Amplitude of SHM is 12 cm
Solution
z = 5 + 12 cos 
= 5 - 12 sin (2πt) ⇒ (z - 5) = - 12 sin 2πt ⇒ SHM with mean position z = 5 cm
Extreme position zmax = 5 + 12 = 17 cm, zmin = 5 - 12 = - 7 cm Amplitude SHM = 12 cm
= 5 - 12 sin (2πt) ⇒ (z - 5) = - 12 sin 2πt ⇒ SHM with mean position z = 5 cm Extreme position zmax = 5 + 12 = 17 cm, zmin = 5 - 12 = - 7 cm Amplitude SHM = 12 cm
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