The uniform rod (length 0.402 m) in the figure rotates in the plane of the figur
ID: 1910958 • Letter: T
Question
The uniform rod (length 0.402 m) in the figure rotates in the plane of the figure about an axis through one end, with a rotational inertia of 0.227 kg?m2. As the rod swings through its lowest position, it collides with a 0.177 kg putty wad that sticks to the end of the rod. If the rod's angular speed just before the collision is 1.13 rad/s, what is the angular speed of the rod-putty system immediately after the collision?
The uniform rod (length 0.402 m) in the figure rot The uniform rod (length 0.402 m) in the figure rotates in the plane of the figure about an axis through one end, with a rotational inertia of 0.227 kg?m2. As the rod swings through its lowest position, it collides with a 0.177 kg putty wad that sticks to the end of the rod. If the rod's angular speed just before the collision is 1.13 rad/s, what is the angular speed of the rod-putty system immediately after the collision?Explanation / Answer
angular momentum of the system= I = (0.227)*(1.13) = 0.25651
since angular momentum is conserved: 0.25651= (0.227 + 0.177*(0.402^2))
--> the final angular speed:= 0.25651/(0.227 + 0.177*(0.402^2)) = 1.00354 rad/s
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