Explain Damped and Force Oscillotors by using Mat
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- If the period of a pendulum on another planet is four times its period measured on Earth, what is the gravitational acceleration on the planet? Show the equation used and your calculations.Problem 1 An object of mass m = 0.2 kg is hung from a spring whose spring constant is 80 Nm-1. The body is subject to a resisti vity force given by -br, where v is its velocity and b = 4 Nm-. 1. Write the differential equation of motion, and specify what is the type of oscillat ion the block undergo? (Critical, under damping, over damping) 2. Determine the period of such oscillation 3. The object is subjected to a sinusoidal force given by F(t) = Fosin(wt) where Fa = 2N and w = 30rad/ sec. In steady state, what is the amplitude of forced ascillation?Rj
- I need help with this problem and an explanation for the solution described below. (University Physics 1: Work, Energy, and Power)3 Suspended masses A system of masses and springs is shown in the adjacent figure, for which ki = 6 N m', k2- 15 N m', and ks - 78 N m'. Assume that the blocks move vertically with no rotation or side-to-side swinging. a) Show that the normal mode angular frequencies are 2 rad s' and 3 rad s', and find the corresponding normal modes. ki 4 kg k2 The blocks are held in their equilibrium positions; the 4 kg block is then displaced 1 cm upwards and the system is released from rest. b) Find expressions for the subsequent displacements of both blocks. 12 kg ooo0000000Differentiate between transient and steady state behaviour of forced oscillator.Explain there behaviour with the help of graphs?Write the equation for both types of behaviour and explain that how their solutions are different