The cart of Problem 4.105 is accelerated by a jet of water that strikes the curved vane. The cart moves along a level track with negligible resistance. At any time its speed is \(U\). Calculate the time required to accelerate the cart from rest to \(U=V / 2\).

Data From Problem 4.105

Transcribed Image Text:

4.105 A steady jet of water is used to propel a small cart along a horizontal track as shown. Total resistance to motion of the cart assembly is given by FD=kU, where k = 0.92 N s/m. Evaluate the acceleration of the cart at the instant when its speed is U = 10 m/s. 75 0 = 30 U = 10.0 m/s V = 30.0 m/s M = 15.0 kg D = 25.0 mm P4.105, P4.106, P4.110