Consider a system of four identical particles A, B, D, and E, each with a mass of 2.3 kg....

Consider a system of four identical particles A, B, D, and E, each with a mass of 2.3 kg. These particles are mounted on a wheel of negligible mass whose hub is at O and whose radius is R = 0.75 m. The wheel is mounted on a cart H of negligible mass. Suppose that the wheel is spinning counterclockwise with an angular speed ω = 3 rad/s and that the cart is moving to the right with a speed of υH = 11 m/s. Compute the kinetic energy of the system, using

(a) Eq. (4.71) on p. 305,

(b) Eq. (4.74) on p. 306.

Show that the result is the same in both cases.

Figure P4.68