Engr Help

Example using Mass Center Moment Form (continued)

Ex. 1 (continued) P acts through the center of the wheel shown below. The radius to the

rim of the wheel is R and weighs W_r. The wheel has 8 spokes each weighing W_s. The

hub at the center of the wheel weighs W_h and has an inner radius, r_i and an outer radius, r_o.

Let W be the total weight of the wheel, F be the friction force, and N the normal force.

C denotes the center of the wheel.

Apply Euler’s first law

Σ F = m a_C

( P – F) i + ( N – W) j = m a_C₌m a_CX i + ₌m a_CY j

The equations of motion in scalar form are:

P – F = m a_CX (1)

N – W = m a_CY (2)