A 180-kg box is at rest on a warehouse floor. A worker pulls on a rope attached

Question

A 180-kg box is at rest on a warehouse floor. A worker pulls on a rope attached to the box with a force of 867 N directed at an angle of 33 degrees above the horizontal. Despite the workers best efforts, the box does not start to move. what is the magnitude of the normal force N acting from the floor on the box? when solving force problems, always draw a proper free-body diagram. Explain the diagram. Find representations for the components of all force vectors. Set up Newton's Law for the separately for the x and y directions. Find the missing quantities. Evaluate your answer: For this problem you could try limiting cases; for example, can you predict what the answer is for the two limiting cases of the angle approaching 0 degree and 90 degree. Does your answer follow that prediction?

Explanation / Answer

here,

mass of the block , m = 180 kg

force acted by the worker , T = 867 N

theta = 33 degree

applying newton's law in y direction

m * g - Tsin(theta) = N

180 *9.8 - 867 * sin(33) = N

N = 1291.8 N

the magnitude of the normal reaction force acting is 1291.8 N

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