Q. 48

Expert-verifiedFound in: Page 201

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

The 10 mg bead in FIGURE P8.48 is free to slide on a frictionless wire loop. The loop rotates about a vertical axis with angular velocity ω. If ω is less than some critical value ωc the bead sits at the bottom of the spinning loop. When ω > ωc the bead moves out to some angle θ

- What is ω
_{c}in rpm for the loop shown in the figure? - At what value of ω
_{c}in rpm is θ=30^{o}

1) Angular Speed of the ball is

2) The angular speed ω_{c} in rpm is 143.52 rpm.

R = 5cm =0.05m

θ=30^{o}

First draw the Free body diagram and equate forces components.

and

Divide (2) by (1) we get

Solve it for ω, we get

R = 5cm=0.05m

θ=30^{o}

Substitute the values in the equation (2), we get

Convert in rpm

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