Derive the Euler-Lagrange equations of motion for the three-link PPP robot shown below. Assume the masses of link 1, 2, 3 are 10 kg, 8 kg, and 3 kg, respectively. 21 d3 20 f2 3 22 EPSON EPSON

Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of the earth.

A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).

Solve Prob. 7.10 assuming that the pick-up truck has front-wheel drive.