simple harmonic motion

a) a mass of 25kg is supported by a vertical spring of stiffness 25kN/m and is acted on by a periodic force which has an amplitude 50N and frequency 5Hz. determine the steady state amplitude of the force vibration and the maximum force acting on the support point for the spring. b) a horizontal platform rests on four vertical springs, each of stiffness 15kN/m and mass 0.25kg. what will the frequency of oscillation of the table be if it has a mass of 2.okg

Newtons laws describing equations of motion for balance beam with cart (ball)

Need to obtain a working mathematical model of the balance beam problem, preferably with a cart, not a ball. i.e. Newtons laws leading through to equations of motion, aswell as transfer functions for use in matlab, any help will be much appreciated, thank you...

How can be determined the dynamic parameters of a second order system, wiht an Inertia (M), a dampening coeficient ( C ) and a Stiffness constant ( K).

Elaborate a Matlab model for this, using an non reinforced second order equation. M*d2y/dt2 + C * dy/dt + K* y =0

Mathematical Modelling of a Controlled Cart on Horizontal Pivoting Beam.

Use Newtons Laws to derive equations of motion for the system. This should be converted into transfer functions for input into MATLAB/SIMULINK. The system consists of a motorised trolley on a see-saw, see attached figure. The trolley motor is to be controlled and eventually the trolley must balance the beam. A potentiometer senses the angle of the beam at the centre, and relates this to the required direction of travel for the trolley. To re-iterate, full derivation of equations of motion (Newton) and their corresponding Transfer functions are needed.

Calculating the holding torque in a gear box.

A gear box has the input power 10kw at 2400 rev/min. The gear ratio is a reduction of 2 to 1. The efficiency is 98%. What is the holding torque required?