A 5-in-wide Polyamide F-2 flat belt is used to connect 2.4 in diameter pulley to drive a larger pulley with an angular velocity ratio of 0.6. The center-to-center distance is 120 in. The angular speed of the small pulley is 1650 rev/min as it delivers 1.5 hp. The service is such that a service factor Ks of 1.2 is appropriate.

a. Estimate the centrifugal tension Fc and the torque T.
b. Estimate the allowable F1, F2, and Fi.
c. Check the friction development.

Afaulty model rocket moves in the xy-plane (the positive y direction is vertically upward). the rocket's acceleration has components ax(t) = ? t2 and ay(t) = ? ? ? t, where ? = 2.50 m/s4 , ? = 9.00 m/s2 , and ? = 1.40 m/s3 . at t = 0 the rocket is at the origin and has velocity ~v0 = v0x ? i + v0y ? j with v0x = 1.00 m/s and v0y = 7.00 m/s. (a) calculate the velocity and position vectors as functions of time. (b) what is the maximum height reached by the rocket? (c) sketch the path of the rocket. (d) what is the horizontal displacement of the rocket when it returns to y = 0?