The angular position of a rod varies as 17.7t radians from time t = 0. The rod has two beads on it as shown in the following figure, one at r, = 15 cm from the rotation axis and the other at r, = 38 cm from the rotation axis. (Note: figure may not be drawn to scale.) Counterclockwise rotation Axis of rotation 15 cm 38 cm (a) What is the instantaneous angular velocity (in rad/s) of the rod at t = 9 s? (Indicate the direction with the sign of your answer. Round your answer to at least one decimal place.) rad/s (b) What is the angular acceleration (in rad/s²) of the rod att = 9 s? (Indicate the direction with the sign of your answer.) rad/s2 (c) What are the tangential speeds of the beads (in m/s) at t = 9 s? m/s Vt, 1- Vt 2 - m/s (d) What are the tangential accelerations of the beads at t = 9 s? (Enter the magnitudes in m/s².) |m/s² ", 1 = |m/s²

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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The angular position of a rod varies as 17.7t radians from time t = 0. The rod has two beads on it as shown in the following figure, one at r, = 15 cm from the rotation axis and the other at
r, = 38 cm from the rotation axis. (Note: figure may not be drawn to scale.)
Counterclockwise rotation
Axis of rotation
15 cm
38 cm
(a) What is the instantaneous angular velocity (in rad/s) of the rod at t = 9 s? (Indicate the direction with the sign of your answer. Round your answer to at least one decimal place.)
rad/s
(b) What is the angular acceleration (in rad/s2) of the rod at t = 9 s? (Indicate the direction with the sign of your answer.)
|rad/s2
(c) What are the tangential speeds of the beads (in m/s) at t = 9 s?
m/s
Vt, 1
Vt, 2
m/s
(d) What are the tangential accelerations of the beads at t = 9 s? (Enter the magnitudes in m/s?.)
m/s?
at, 1
%3D
at, 2
|m/s²
(e) What are the centripetal accelerations of the beads at t = 9 s? (Enter the magnitudes in m/s2.)
Transcribed Image Text:The angular position of a rod varies as 17.7t radians from time t = 0. The rod has two beads on it as shown in the following figure, one at r, = 15 cm from the rotation axis and the other at r, = 38 cm from the rotation axis. (Note: figure may not be drawn to scale.) Counterclockwise rotation Axis of rotation 15 cm 38 cm (a) What is the instantaneous angular velocity (in rad/s) of the rod at t = 9 s? (Indicate the direction with the sign of your answer. Round your answer to at least one decimal place.) rad/s (b) What is the angular acceleration (in rad/s2) of the rod at t = 9 s? (Indicate the direction with the sign of your answer.) |rad/s2 (c) What are the tangential speeds of the beads (in m/s) at t = 9 s? m/s Vt, 1 Vt, 2 m/s (d) What are the tangential accelerations of the beads at t = 9 s? (Enter the magnitudes in m/s?.) m/s? at, 1 %3D at, 2 |m/s² (e) What are the centripetal accelerations of the beads at t = 9 s? (Enter the magnitudes in m/s2.)
Using the parallel axis theorem, what is the moment of inertia of the rod of mass m about the axis shown below? (Use the following as necessary: m and L.)
I =
Transcribed Image Text:Using the parallel axis theorem, what is the moment of inertia of the rod of mass m about the axis shown below? (Use the following as necessary: m and L.) I =
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