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A 0.5-kg block B slides without friction inside a slot in the arm OA. The arm rotates in the vertical plane, where is measured in radians in a counterclockwise direction from the vertical line as shown. The arm starts from rest at 0 = 0 and maintains a constant angular acceleration of = 0.1 rad/s² in the counterclockwise direction. At the instant when t = 2 seconds, it is found that r = 0.8 m and r = 0.1 m/s. Treat the block as a particle. (a) Calculate the values of 0 and ė at the instant when t = 2 seconds. (b) Assuming only one side of the slot is in contact with block, calculate the force exerted on the block by the arm at the instant when t = 2 seconds. B (c) Calculate the magnitude of the relative acceleration of the block with respect to the arm, i.e., ||, at the instant when t = 2 seconds. (d) Calculate the magnitude of the radial acceleration, i.e., |ar|, at the instant when 0 = 90°. A

A 0.5-kg block B slides without friction inside a slot in the arm OA. The arm rotates in the vertical plane, where is measured in radians in a counterclockwise direction from the vertical line as shown. The arm starts from rest at 0 = 0 and maintains a constant angular acceleration of = 0.1 rad/s² in the counterclockwise direction. At the instant when t = 2 seconds, it is found that r = 0.8 m and r = 0.1 m/s. Treat the block as a particle. (a) Calculate the values of 0 and ė at the instant when t = 2 seconds. (b) Assuming only one side of the slot is in contact with block, calculate the force exerted on the block by the arm at the instant when t = 2 seconds. B (c) Calculate the magnitude of the relative acceleration of the block with respect to the arm, i.e., ||, at the instant when t = 2 seconds. (d) Calculate the magnitude of the radial acceleration, i.e., |ar|, at the instant when 0 = 90°. A

Elements Of Electromagnetics
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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Answers should be (a): 0.2 rad, 0.2rad/s, (b): 1.034 N, (c): 9.65m/s, (d) 0 m/s^2

A 0.5-kg block B slides without friction inside a slot in the arm OA. The arm rotates in the vertical plane, where is measured in radians in a counterclockwise direction from the vertical line as shown. The arm starts from rest at 0 = 0 and maintains a constant angular acceleration of = 0.1 rad/s² in the counterclockwise direction. At the instant when t = 2 seconds, it is found that r = 0.8 m and r = 0.1 m/s. Treat the block as a particle. (a) Calculate the values of 0 and ė at the instant when t = 2 seconds. (b) Assuming only one side of the slot is in contact with block, calculate the force exerted on the block by the arm at the instant when t = 2 seconds. B (c) Calculate the magnitude of the relative acceleration of the block with respect to the arm, i.e., ||, at the instant when t = 2 seconds. (d) Calculate the magnitude of the radial acceleration, i.e., |ar|, at the instant when 0 = 90°. A
Transcribed Image Text:A 0.5-kg block B slides without friction inside a slot in the arm OA. The arm rotates in the vertical plane, where is measured in radians in a counterclockwise direction from the vertical line as shown. The arm starts from rest at 0 = 0 and maintains a constant angular acceleration of = 0.1 rad/s² in the counterclockwise direction. At the instant when t = 2 seconds, it is found that r = 0.8 m and r = 0.1 m/s. Treat the block as a particle. (a) Calculate the values of 0 and ė at the instant when t = 2 seconds. (b) Assuming only one side of the slot is in contact with block, calculate the force exerted on the block by the arm at the instant when t = 2 seconds. B (c) Calculate the magnitude of the relative acceleration of the block with respect to the arm, i.e., ||, at the instant when t = 2 seconds. (d) Calculate the magnitude of the radial acceleration, i.e., |ar|, at the instant when 0 = 90°. A
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