1.The bar rotates in the x-y plane with constant angular velocity w0 = 12 rads/s. The radial component of acceleration of the collar C (in m/ssqrt) is given as a function of the radial position in meters by a sub r = -8r. When r = 1m, the radial component of velocity of C is v sub r= 2m/s. Determine the velocity of C in terms of polar coordinates when r= 1.5m.
2.In a rectangular channel of 12 m width, water flows at a rate of 150 cms. At the end of the channel, there is a horizontal concrete apron of 12 m width, on which the water depth is 3 m. Will a hydraulic jump formed in the channel and why? What is the pre-jump depth? What is the loss of energy through the jump?