A particle move along the `Z`-axis accoding to the equation `z = 5 + 12 cos(2pit + (pi)/(2))`, where `z` is in cm and t is in seconds. Select the correct alternative (s)-
A
(a)The motion of the particle is `SHM` with mean position at `z = 5 cm`
B
(b)The motion of the particle is `SHM` with extreme position at `z = - 7 cm` and `z = + 17 cm`.
C
(c)Amplitude of `SHM` is `13 cm`
D
(d)Amplitude pf `SHM` is `12 cm`
Text Solution
Verified by Experts
The correct Answer is:
A,B,D
`z = 5 + 12 cos (2pit + (pi)/(2)) = 5-12 sin(2pit) rArr (z-5) = - 12 sin 2omegat rArr` SHM with mean position `z = 5 cm` Extreme position `z_("max") = 5+12 = 17 cm, z_("min") = 5-12 = -7 cm` Aplitude of SHM `= 12 cm`
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