that the circular part of the slot has the the radial position, r, is measured from is measured in the counter-clockwise an angular velocity = 4 rad/sec and 5 = 8 rad/sec² at the instant when 0 = of the arm guide on the particle at the

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The 0.6-lb particle is guided along the circular path using the slotted arm guide. Motion occurs in the horizontal plane with negligible friction. Note that the circular part of the slot has the radius equal to 0.5 ft, and the radial position, \( r \), is measured from the hinge and the angle \( \theta \) is measured in the counter-clockwise direction. If the arm has an angular velocity \( \dot{\theta} = 4 \, \text{rad/sec} \) and an angular acceleration \( \ddot{\theta} = 8 \, \text{rad/sec}^2 \) at the instant when \( \theta = 30^\circ \), determine the force of the arm guide on the particle at the instant. Present your answer in lb using 3 significant figures.

The diagram illustrates a particle on a circular path within a slotted guide. The circular path has a fixed radius of 0.5 ft. The angle \( \theta \) is shown as the angle made from the vertical, measured counter-clockwise. The particle is attached to an arm that pivots around a hinge point.
Transcribed Image Text:The 0.6-lb particle is guided along the circular path using the slotted arm guide. Motion occurs in the horizontal plane with negligible friction. Note that the circular part of the slot has the radius equal to 0.5 ft, and the radial position, \( r \), is measured from the hinge and the angle \( \theta \) is measured in the counter-clockwise direction. If the arm has an angular velocity \( \dot{\theta} = 4 \, \text{rad/sec} \) and an angular acceleration \( \ddot{\theta} = 8 \, \text{rad/sec}^2 \) at the instant when \( \theta = 30^\circ \), determine the force of the arm guide on the particle at the instant. Present your answer in lb using 3 significant figures. The diagram illustrates a particle on a circular path within a slotted guide. The circular path has a fixed radius of 0.5 ft. The angle \( \theta \) is shown as the angle made from the vertical, measured counter-clockwise. The particle is attached to an arm that pivots around a hinge point.
Expert Solution
Step 1

Given-Information:-

m = 0.6 lbr = 0.5 ftθ˙ = 4 rad/sθ¨ =8 rad/s2θ = 30°

To-Determine:-

Force of the arm guide 

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