Q.45

Expert-verifiedFound in: Page 200

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Two wires are tied to the 2.0 kg sphere shown in FIGURE P8.45. The sphere revolves in a horizontal circle at constant speed. a. For what speed is the tension the same in both wires? b. What is the tension?

a) The tension in both wire should be same for the speed of 2.91 m/sec

b) Tension in wires at that speed is T =14.34 N

Mass of the ball =2 kg

The tension in each string is same.

The diagram shows the arrangement

Lets first draw the free body diagram and then equate horizontal and vertical forces.

Horizontal components:

Vertical components:

Given T_{1}=T_{2} , So after solving equation (1) and(2), we get

Find the r using the triangle M L N and L N Q, we get

r= 0.866 m

Upon substituting in equation (3) we get

Tension in both string are equal

Mass of the ball is 2 kg

Substitute T1=T2=T and m= 2kg and g=9.8m/s^{2} in equation (2)

we get

94% of StudySmarter users get better grades.

Sign up for free