The dart is now launched so that it collides and sticks to a wheel at the instant its velocity is completely horizontal, as shown above. The wheel is free to rotate about a pivot at its center that has negligible friction. (d) Indicate whether the linear momentum of the dart-wheel system will be constant during the collision. Justify your answer.

EXAMPLE 4 A solid ball with a mass m is thrown on the ground such that at the instant of contact it has an angular velocity and velocity components (VG) and (VG) as shown. If the ground is rough so no slipping occurs, determine the components of the velocity of its mass center just after impact. The coefficient of restitution is e. (va)yt (va)a

Bicycle wheels are manufactured having thin rims and tires of total mass D per unit length, and the spokes and axle may be ignored. Find the angular momentum of one bicycle wheel of radius r when the bicycle is traveling at velocity v, and hence comment upon whether you would prefer large wheels or small wheels to make a bicycle easiest to balance when riding it.

Solve the following problem (NOTE: Use any reasonable DATA not given in the problem.)