A body of mass 100 gm is executing simple harmonic motion. Its displacement x (in cm) at time t (in second) is given by x=10 cos(50t-π/3). Then maximum restoring force acting on the body is

A body of mass 100 gm is executing simple harmonic motion. Its displacement x (in cm) at time t (in second) is given by $x = 10 \cos (50 t - π / 3)$ . Then maximum restoring force acting on the body is

A
7.5 N
B
75 N
C
25 N
D
50 N

Solution:

m = 0.1 kg, Amplitude A = 0.1 m and $ω = 50 r a d / s$

$∴$ Maximum restoring force $= m ω^{2} A = 0.1 \times (50)^{2} \times 0.1 N = 25 N$

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