* A thin rod of length L and mass m rotates around an axis perpendicular to the rod. passing through the rod’s left end Treat the rod as an object made up of five rods of length L/5 . Derive an expression for the rotational inertia of this five-piece object around the same axis, assuming each piece is a point-like object with mass m /5. Compare your result with the expression for the rotational inertia of the one-piece rod ( I = 1 3 m L 2 ) . Discuss the similarities and the differences
* A thin rod of length L and mass m rotates around an axis perpendicular to the rod. passing through the rod’s left end Treat the rod as an object made up of five rods of length L/5 . Derive an expression for the rotational inertia of this five-piece object around the same axis, assuming each piece is a point-like object with mass m /5. Compare your result with the expression for the rotational inertia of the one-piece rod ( I = 1 3 m L 2 ) . Discuss the similarities and the differences
* A thin rod of length L and mass m rotates around an axis perpendicular to the rod. passing through the rod’s left end Treat the rod as an object made up of five rods of length L/5. Derive an expression for the rotational inertia of this five-piece object around the same axis, assuming each piece is a point-like object with mass m/5. Compare your result with the expression for the rotational inertia of the one-piece rod
(
I
=
1
3
m
L
2
)
. Discuss the similarities and the differences
3.63 • Leaping the River II. A physics professor did daredevil
stunts in his spare time. His last stunt was an attempt to jump across
a river on a motorcycle (Fig. P3.63). The takeoff ramp was inclined at
53.0°, the river was 40.0 m wide, and the far bank was 15.0 m lower
than the top of the ramp. The river itself was 100 m below the ramp.
Ignore air resistance. (a) What should his speed have been at the top of
the ramp to have just made it to the edge of the far bank? (b) If his speed
was only half the value found in part (a), where did he land?
Figure P3.63
53.0°
100 m
40.0 m→
15.0 m
Please solve and answer the question correctly please. Thank you!!
You throw a small rock straight up from the edge of a highway bridge that crosses a river. The rock passes you on its way down, 5.00 s after it was thrown. What is the speed of the rock just before it reaches the water 25.0 m below the point where the rock left your hand? Ignore air resistance.
Chapter 9 Solutions
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