For the damped oscillator, the mass m of the block is 200g, k = 90 Nm^(-1) and the damping constant b is 40 gs^(-1). Calculate the period of oscillation.

For the damped oscillator, the mass m of the block is 200g, k = 90 Nm^

1.	For the damped oscillator, the mass m of the block is 200g, k = 90 Nm^(-1) and the damping constant b is 40 gs^(-1). Calculate the period of oscillation.
Answer» Solution :`SQRT(km) = sqrt(90xx0.2)` `sqrt(18)= 4.2426 APPROX 4.243 kgs^(-1)" and "b = 0.04 kgs^(-1)` `THEREFORE b lt lt sqrt(km)` The time period `T= 2PI sqrt((m)/(k))` `= 2xx3.14 sqrt((0.2)/(90))` `= 6.28xx 0.471 = 0.296` `therefore T approx 0.3s`.