The automobile in 5.24 brakes suddenly such that when it comes to a stop the front suspension spring is compressed by two inches and the rear suspension spring is stretched by one and half inches. Determine the automobile’s free vibration response thereafter.

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)