FB = 50 N 160° FA = 50 N RB 30° RA 38 J

A bicyclist notes that the pedal sprocket has a radius of rp = 8.5 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 64 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.8 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed. a.  Calculate the angular speed of the pedal sprocket ωp, in radians per second.  b. Calculate the linear speed of the outer edge of the pedal sprocket vp, in centimeters per second.  c.  Calculate the angular speed of the wheel sprocket ωw, in radians per second.  d.  Calculate the linear speed of the bicycle v, in meters per second, assuming the wheel does not slip across the ground.

In the figure, two 6.90 kg blocks are connected by a massless string over a pulley of radius 1.10 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.900 rad in 148 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number i Units (b) Number Units (c) Number Units (d) Number Units >

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