A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle θ from the normal and sticks to the rod after the collision. What is the angular speed ωf of the system immediately after the collision, in terms of system parameters and I?

Question
Asked Nov 5, 2019

  A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle θ from the normal and sticks to the rod after the collision. What is the angular speed ωf of the system immediately after the collision, in terms of system parameters and I

check_circleExpert Solution
Step 1
Conditfon 1
If the putty stike the 7od at a
distanee foom the left hine
Top vieuo
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Conditfon 1 If the putty stike the 7od at a distanee foom the left hine Top vieuo

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Step 2
InestHa ofod about the hinge Td=ML
Inertia af puthy bal abott thu hinge Tputty = mr2
when the put balt Atfcka t th oo
at a distante from the hinge, boh
od and puty attaing th Aame final
angular veloeity
(Mm
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InestHa ofod about the hinge Td=ML Inertia af puthy bal abott thu hinge Tputty = mr2 when the put balt Atfcka t th oo at a distante from the hinge, boh od and puty attaing th Aame final angular veloeity (Mm

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Step 3
Dom the Consey vation of angulor
momentum
movcoso
(tmenma)
(ME
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Dom the Consey vation of angulor momentum movcoso (tmenma) (ME

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Rotational Mechanics

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