During a steady right turn, a person exerts the forces shown on the steering wheel. Note that each force consists of a tangential component and a radially-inward component. Determine the moment exerted about the steering column at O. The moment will be positive if counterclockwise, negative if clockwise. 7.2 N 35' 15° 15° Answer: M 355 mm 35° 7.2 N B Nim

The force of F = (2i -5j) N is acting on a particle whose position vector is r = (i +0.5j +2k) m Calculate the torque vector about the origin in Nm (Hint: consider the vector product) a. 8 b. 10i +4j - 6k c. 2i-2.5J d. (-1k) e. O f. (k) Nm 2i -2.5j +2k

A counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 7.00 cm and mass M = 1.50 kg. The spokes have negligible mass. M m (a) What is the net torque on the system about the axle of the pulley? magnitude 2.058 x N.m direction to the right along the axis of rotation (b) When the counterweight has a speed v, the pulley has an angular speed = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (0.357 kg. m)v (c) Find the magnitude of the acceleration of the counterweight. 5.76 x m/s²

A ball of radius Ris rolling across a rough surface without slipping. What is the relationship between the angular speed w and the translational speed v? Image size: Select the correct answer Ου-R/ω Ου- 1/ω O v= w Ου-ω/R O V = Rw