The angular position of a rod varies as \( 17.7t^2 \) radians from time \( t = 0 \). The rod has two beads on it as shown in the following figure, one at \( r_1 = 15 \) cm from the rotation axis and the other at \( r_2 = 38 \) cm from the rotation axis. (Note: figure may not be drawn to scale.)**Diagram Explanation:**- The diagram shows a rod rotating counterclockwise around an axis.- Two points are marked where the beads are located: one at 15 cm and the other at 38 cm from the axis of rotation.**Questions:**(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.)[Textbox for answer](b) What is the angular acceleration (in rad/s\(^2\)) of the rod at \( t = 9 \) s? (Indicate the direction with the sign of your answer.)[Textbox for answer](c) What are the tangential speeds of the beads (in m/s) at \( t = 9 \) s?\( v_{t,1} = \) [Textbox] m/s\( v_{t,2} = \) [Textbox] m/s(d) What are the tangential accelerations of the beads at \( t = 9 \) s? (Enter the magnitudes in m/s\(^2\).)\( a_{t,1} = \) [Textbox] m/s\(^2\)\( a_{t,2} = \) [Textbox] m/s\(^2\)(e) What are the centripetal accelerations of the beads at \( t = 9 \) s? (Enter the magnitudes in m/s\(^2\).)\( a_{c,1} = \) [Textbox] m/s\(^2\)\( a_{c,2} = \) [Textbox] m/s\(^2\) **Question:** 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 \( L \).)**Diagram Explanation:**- A horizontal rod is depicted, with its total length labeled as \( L \).- The rod is pivoted at a point located \( \frac{L}{3} \) from the left end.- The remaining length to the right end is labeled as \( \frac{2L}{3} \).- An arrow denotes a rotation about the pivot point (shown as a dot).**Mathematical Expression:**\[ I = \]This exercise requires applying the parallel axis theorem to find the moment of inertia about the marked axis.

In this question we are given with a rod which rotates around a given axis and we have to answer…

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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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