A thin, cylindrical rod \( \ell = 25.0 \) cm long with a mass \( m = 1.20 \) kg has a ball of diameter \( d = 10.0 \) cm and mass \( M = 2.00 \) kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge.### Questions:(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy?\[ \boxed{ \text{J} } \](b) What is the angular speed of the rod and ball?\[ \boxed{ \text{rad/s} } \](c) What is the linear speed of the center of mass of the ball?\[ \boxed{ \text{m/s} } \](d) How does it compare with the speed had the ball fallen freely through the same distance of 30.0 cm?\[ v_{\text{swing}} \text{ is } \boxed{\text{---Select---}} v_{\text{fall}} \text{ by } \boxed{\text{\%}}. \]### Diagram Description:The diagram shows a thin, cylindrical rod pivoting about its bottom end. A spherical ball is attached to the top of the rod. The lengths and masses are labeled according to the given problem statement. The system is shown in an initial vertical position with an arrow indicating the direction of rotation to a horizontal position (90 degrees).

Given , d=0.1 m M=2 kg l=0.25 m m=1.2…

A thin, cylindrical rod i = 25.0 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The %3D arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy? (b) What is the angular speed of the rod and ball? rad/s (c) What is the linear speed of the center of mass of the ball? m/s (d) How does it compare with the speed had the ball fallen freely through the same distance of 30.0 cm? V swing is Vfall by %. --Select--

A thin, cylindrical rod i = 25.0 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The %3D arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy? (b) What is the angular speed of the rod and ball? rad/s (c) What is the linear speed of the center of mass of the ball? m/s (d) How does it compare with the speed had the ball fallen freely through the same distance of 30.0 cm? V swing is Vfall by %. --Select--

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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