an initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1100 n. the coefficient of static friction between the box and the floor is 0.35. (a) what should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation?



Answer :

a. Angle between the cable and the horizontal in order to pull the greatest possible amount of sand is θ= 19.29° b. weight of sand and box is M= 34 kgs where coefficient of static friction is 0.35.

An object experiences static friction when a force is applied to it; as a result, the object resists the applied force and stays at rest until static friction is removed. In kinetic friction, the frictional force opposes an object's motion. While surfaces at rest with respect to one another experience static friction. Static friction is defined as the difference between zero and the minimum force required to initiate motion. The minimum force needed to initiate motion or dissipate static friction is always greater than the coefficient of friction, which is the ratio between the force preventing motion between two surfaces in contact and the normal force holding them together. The Greek letter mu () is commonly used to represent it.

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