Q. 35

Expert-verifiedFound in: Page 354

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

FIGURE P13.35 shows three masses. What are the magnitude and the direction of the net gravitational force on (a) the 20.0 kg mass and (b) the 5.0 kg mass? Give the direction as an angle cw or ccw from the y-axis.

(a) Magnitude and direction of the net gravitational force on 20kg mass is and respectively.

(b) Magnitude and direction of the net gravitational force on 5kg mass is and respectively.

The given diagram is

Gravitational force,

Gravitational force on 20 kg mass due to 5kg mass is

This force is in vertical direction.

Gravitational force on 20 kg mass due to 5kg mass is

This force is in horizontal direction.

Net force is

Direction of net force from horizontal x-axis is

Now direction of net force from vertical y-axis is

The diagram is

Gravitational Force is

Gravitational force on 20 kg mass due to 5kg mass is

This force is in vertical direction.

Perpendicular distance between 5 kg mass and 10 kg mass is

Gravitational force on 20 kg mass due to 5kg mass is

The direction of force from horizontal direction.

The horizontal component of is

The vertical component of is

Now, total force in vertical direction is

Net force is

Direction of net force from horizontal x-axis is

Now direction of net force from vertical y-axis is

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