The force constant of a particle of mass 1 kg is shm of amplitude 4 cm

1.	The force constant of a particle of mass 1 kg is shm of amplitude 4 cm is 100 per metre when particle is it mean position at t is equals to zero then find maximum speed p
Answer» Answer: The equation of motion of S.H.M x=0.5cos(100+43π). Comparing it with general equation motion of S.H.M, described as FOLLOWS, we get, x=Acos(ωt+θ) (1) FREQUENCY= 2πω, Where ω=100= 2π 100 =(50π)Hz (2)Initial phaseϕ= 43π (3)Amplitude A=0.5cm Maximum velocity=ωA=100×0.5=500m/s (4)Maximum acceleration=ω 2A=100 2×0.5=50m/s 2 (5)TOTAL energy= 21 mω 2 A 2(Mass of the particle=0.1kg)= 21 ×0.1×(100) 2×(0.5) 2=125J

The force constant of a particle of mass 1 kg is shm of amplitude 4 cm is 100 per metre when particle is it mean position at t is equals to zero then find maximum speed p

Answer»

Answer:

The equation of motion of S.H.M x=0.5cos(100+43π).

Comparing it with general equation motion of S.H.M, described as FOLLOWS, we get, x=Acos(ωt+θ)

(1) FREQUENCY= 2πω, Where ω=100= 2π

100 =(50π)Hz

(2)Initial phaseϕ= 43π

(3)Amplitude A=0.5cm

Maximum velocity=ωA=100×0.5=500m/s

(4)Maximum acceleration=ω 2A=100

2×0.5=50m/s 2

(5)TOTAL energy= 21 mω

2 A 2(Mass of the particle=0.1kg)= 21 ×0.1×(100) 2×(0.5) 2=125J

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The force constant of a particle of mass 1 kg is shm of amplitude 4 cm is 100 per metre when particle is it mean position at t is equals to zero then find maximum speed p

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