Asked by A

A rod is lying at rest on a perfectly smooth horizontal surface (no friction). We give rod a short impulse (a hit) perpendicular to the length direction of the rod at X. The mass of the rod is 3 kg, and its length is 50 cm. The impulse is 4 kg⋅m/sec. The distance from the center C of the rod to X is 15 cm.

(a) What is the translational speed ∣∣v⃗ cm∣∣ of C after the rod is hit? (in m/s)

∣∣v⃗ cm∣∣=


(b) What is the magnitude of the angular velocity ω of the rod about C? (in radians/s)

ω=


(c) How far (distance D in meters) has the center C of the rod moved from its initial position 8 seconds after it was hit? D=


And what is the angle θ (in radians) between the direction of the rod at 8 seconds after it was hit, and its initial direction (before it was hit)? Give the smaller angle.

θ(smaller angle)=


(d) What is the total kinetic energy K of the rod after it was hit? (in Joules)

K=
Answered by Elena
Problem 7.9
http://ocw.mit.edu/courses/physics/8-01-physics-i-classical-mechanics-fall-1999/assignments/sol7.pdf
Answered by Walter Lewin
You didn't take a look at the help sessions, did you? Watch the 6th video of HS. It is 95% done there.
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