An oscillator consists of a block of mass 1.00 kg connected to a spring. When se

Question

An oscillator consists of a block of mass 1.00 kg connected to a spring. When set intooscillation with amplitude 49.0 cm, it is observed to repeat its motionevery0.600 s. (a) Find the period.
s

(b) Find the frequency.
hz

(c) Find the angular frequency.
rad/s

(d) Find the spring constant.
N/m

(e) Find the maximum speed.
m/s

(f) Find the maximum force exerted on the block.
N (a) Find the period.
s

(b) Find the frequency.
hz

(c) Find the angular frequency.
rad/s

(d) Find the spring constant.
N/m

(e) Find the maximum speed.
m/s

(f) Find the maximum force exerted on the block.
N

Explanation / Answer

a) Time period is            T= 0.600 s b) Frequency is           f =1/T             =1/(0.600 s)            = 1.67 Hz c) The angular frequency is               =2f                  = 2(1.67 Hz)                   =10.493 rad/s d) The spring constant is               k = m2             Here m = 1.00 kg e) The maximum speed is            vmax = A Here A = 0.49 m f) The maximum force excerted on the block is          Fmax =mA2    Substitute the values.    Substitute the values.

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