Question

4. A mass is attached to a spring with a force constant of 40 N/m. The spring and mass are set to simple harmonic motion with a period of 0.50 s on a frictionless, horizontal surface.

a) What is the mass of the object?

b) What is the frequency of the oscillations?

c) At which point will the object be at maximum speed? Minimum speed?

d) At which point will the object be at max acceleration? Minimum acceleration?

Answer 1

a) time period T = m= mass k= spring constant

m= T2 K / 42 put T =0.50 s K = 40 N/m

mass m=   0.502 x  40 N/m / 42  =0.2533kg

b) frequency = 1/time period  =1/T = 1/0.50 =2 Hz

c) minimum speed is zero. this minimum speed will occured two end position of mass at the oscillation

maximum velocity V = A = amplitude of oscillation =

d) the maximum acceleration occured at two end position of mass at the oscillation .even there speed is zero but changing in the speed(acceleration ) is maximum.