(11) A body of weight 60 Newtons was placed on a rough inclined plane inclined to the horizontal at an angle whose sine \( =\frac{3}{5} \). It was observed that the body is about to move under the action of its weight only. Find the coefficient of static friction between the body and the plane. (12) A body was placed on a rough inclined plane inclined to the horizontal at an angle of measure \( 60^{\circ} \). The coefficient of static friction between the body and the plane was \( \frac{\sqrt{3}}{2} \). Explain and state the reason why the body cannot remain in equilibrium on the plane. (13) A body of weight 400 Newton was pla ed on a rough inclined plane inclined to the horizontal at an angle of measure \( 30^{\circ} \). A force was applied to the body in the direction of the line of the greatest slope of the plane upward, so the body was about to move up the plane. If the coefficient of static friction between the body and the plane was \( \frac{1}{\sqrt{3}} \). Find the magnitudc of the force. (14) A body of weight 30 Newtons was placed on a rough inclined plane inclined to the horizontal at an angle of measure \( 60^{\circ} \). A force of magnitude 10 Newtons was applied to it in the direction of the line of the greatest slope of the plane upward, so the body was about to move downward. Find the magnitude of the force if it is known that the coefficient of static friction between the body and the plane is \( \frac{\sqrt{3}}{3} \) (15) A body of 30 Newtons weight was placed on a rough inclined plane inclined to the horizontal at an angle of measure \( \theta \). A force of magnitude \( 20 \sqrt{3} \) Newtons. It was applied to it in the direction of the line of the greatest slope of the plane upward, so the body was about to move upwards. Find the measure of the angle \( \theta \) if it is known that the coefficient of static friction between the body and the plane is \( \frac{\sqrt{3}}{3} \).
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