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Uniform rod of mass (Mr) and length (L) is suspended from ceiling. It is also mounted on a horizontal frictionless axle. Rod is initially at rest and in equilibrium position when a ball of mass (mb) hits and get stuck onto the rod's lower end. The sticky ball is thrown at an initial speed of (Vo) at a 60 degree angle from horizontal direction. It strikes rod when reaches the top of its trajectory. Acceleration is (g) and air resistance is negligible. Determine velocity of ball right before it sticks to rod. Use the defined x,y coordinate system. What's angular velocity of rod+ball system after collision. Counterclockwise is positive. What's the differential equation satisfied by rod+ball system after the collision? Determine the angular frequency. Small angular approximation is valid (sin theta = theta). What is the expression that describes angular position of rod+ball system at any time after collision?

Uniform rod of mass (Mr) and length (L) is suspended from ceiling. It is also mounted on a horizontal frictionless axle. Rod is initially at rest and in equilibrium position when a ball of mass (mb) hits and get stuck onto the rod's lower end. The sticky ball is thrown at an initial speed of (Vo) at a 60 degree angle from horizontal direction. It strikes rod when reaches the top of its trajectory. Acceleration is (g) and air resistance is negligible. Determine velocity of ball right before it sticks to rod. Use the defined x,y coordinate system. What's angular velocity of rod+ball system after collision. Counterclockwise is positive. What's the differential equation satisfied by rod+ball system after the collision? Determine the angular frequency. Small angular approximation is valid (sin theta = theta). What is the expression that describes angular position of rod+ball system at any time after collision?

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M, 60° Figure 4
Transcribed Image Text:M, 60° Figure 4
Uniform rod of mass (Mr) and length (L) is suspended from ceiling. It is also mounted on a horizontal frictionless axle. Rod is initially at rest and in equilibrium position when a ball of mass (mb) hits and get stuck onto the rod's lower end. The sticky ball is thrown at an initial speed of (Vo) at a 60 degree angle from horizontal direction. It strikes rod when reaches the top of its trajectory. Acceleration is (g) and air resistance is negligible. Determine velocity of ball right before it sticks to rod. Use the defined x,y coordinate system. What's angular velocity of rod+ball system after collision. Counterclockwise is positive. What's the differential equation satisfied by rod+ball system after the collision? Determine the angular frequency. Small angular approximation is valid (sin theta = theta). What is the expression that describes angular position of rod+ball system at any time after collision?
Transcribed Image Text:Uniform rod of mass (Mr) and length (L) is suspended from ceiling. It is also mounted on a horizontal frictionless axle. Rod is initially at rest and in equilibrium position when a ball of mass (mb) hits and get stuck onto the rod's lower end. The sticky ball is thrown at an initial speed of (Vo) at a 60 degree angle from horizontal direction. It strikes rod when reaches the top of its trajectory. Acceleration is (g) and air resistance is negligible. Determine velocity of ball right before it sticks to rod. Use the defined x,y coordinate system. What's angular velocity of rod+ball system after collision. Counterclockwise is positive. What's the differential equation satisfied by rod+ball system after the collision? Determine the angular frequency. Small angular approximation is valid (sin theta = theta). What is the expression that describes angular position of rod+ball system at any time after collision?
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