The 2.00-kg slender rod shown is hanging in a vertical position and is pin-supported at point A. The slender rod is initially at rest until a 1.000-kg block C, strikes it at its end at point B. The block slides on a frictionless surface with a velocity of 3.50 m/s to the right. After the impact, it slides with a velocity of 1.250 m/s to the right, and the bar rotates with an angular velocity, ω'. 1. What gives the correct kinematic relationship relating the final velocity of the center of the rod, v' , and its angular velocity, ω'? 2. What is the coefficient of restitution, e, between the block and the slender rod? 3. What is the magnitude of the horizontal impulse at the support at point A?
The 2.00-kg slender rod shown is hanging in a vertical position and is pin-supported at point A. The slender rod is initially at rest until a 1.000-kg block C, strikes it at its end at point B.
The block slides on a frictionless surface with a velocity of 3.50 m/s to the right. After the impact, it slides with a velocity of 1.250 m/s to the right, and the bar rotates with an angular velocity, ω'.
1. What gives the correct kinematic relationship relating the final velocity of the center of the rod, v' , and its angular velocity, ω'?
2. What is the coefficient of restitution, e, between the block and the slender rod?
3. What is the magnitude of the horizontal impulse at the support at point A?
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