SHMHard
Question
The displacement (in m) of a particle of mass 100 g from its equilibrium position is given by the equation:
y = 0.05 sin 3π (5t + 0.4)
y = 0.05 sin 3π (5t + 0.4)
Options
A.the time period of motion is
sec
B.the time period of motion is
sec.
C.the maximum acceleration of the particle is 11.25π2 m/s2
D.the force acting on the particle is zero when the displacement is 0.05 m.
Solution
ω = 3π × 5 = 15π, A = 0.05
T =
sec. Ans. ---------(B)
amax = ω2 A
= (15π)2 0.05
= 225 × 0.05
= 11.25 π2 Ans.---------(C)
T =
amax = ω2 A
= (15π)2 0.05
= 225 × 0.05
= 11.25 π2 Ans.---------(C)
Create a free account to view solution
View Solution FreeMore SHM Questions
The potential energy of a particle of mass ′m′ situated in a unidimensional potential field varies as U(x) =...The distance of hinge point of a compound pendulum from its centre of gravity is l, the time period of oscillation relat...A solid ball of mass m is made to fall from a height H on a pan suspended through a spring of spring constant K as shown...Acceleration a versus time t graph of a body in SHM is given by a curve shown below. T is the time...An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and the ...