(a) A mass m = 400 g is attached to a constant spring elastic k. The system oscillates with a maximum width of 3.5 cm and the motion does repeat every 0.2 s. Calculate frequency, angular frequency, velocity maximum, the maximum value of the force exerted by the spring.

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Q1 SHM
Answer step-wise with detailed explantions
(a) A mass m = 400 g is attached to a constant spring elastic k. The
system oscillates with a maximum width of 3.5 cm and the motion does
repeat every 0.2 s. Calculate frequency, angular frequency, velocity
maximum, the maximum value of the force exerted by the spring.
(b) An oscillator is composed of a mass m = 1.5 kg, attached to a spring
of elastic constant k = 15 N/cm. The surface on which moves the mass
is smooth. The object, initially moved by 60 cm compared to the rest
position has an initial speed of 10 m/s direct towards the equilibrium
position. Calculate: frequency, angular frequency, period of oscillation
and mechanical energy of the system.
Transcribed Image Text:Q1 SHM Answer step-wise with detailed explantions (a) A mass m = 400 g is attached to a constant spring elastic k. The system oscillates with a maximum width of 3.5 cm and the motion does repeat every 0.2 s. Calculate frequency, angular frequency, velocity maximum, the maximum value of the force exerted by the spring. (b) An oscillator is composed of a mass m = 1.5 kg, attached to a spring of elastic constant k = 15 N/cm. The surface on which moves the mass is smooth. The object, initially moved by 60 cm compared to the rest position has an initial speed of 10 m/s direct towards the equilibrium position. Calculate: frequency, angular frequency, period of oscillation and mechanical energy of the system.
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