A wooden block is placed on a plane with a variable angle of inclination theta.

Question

A wooden block is placed on a plane with a variable angle of inclination theta. The block is at rest and the ramp starts in the horizontal position. The angle of inclination is slowly and carefully increased while the block remains at rest, as shown. Consider the case in which one end of the ramp has been raised, but the angle of inclination is small enough so that the block remains at rest. Draw a free body diagram of the block for the case above. Label each force as in the previous lab, that is, for each force identify the type of force, the object on which it is exerted, and the object exerting the force. Is the magnitude of the normal force on the block greater than, less than, or equal to its weight? Explain. Write an expression for the magnitude of the normal force in terms of the mass m of the block, g, and the angle theta of the incline. Is the magnitude of the friction force on the block greater than, less than, or equal to its weight? Explain. Write an expression for the magnitude of the friction force in terms of the mass m of the block, g, and the angle theta of the incline (but not the coefficient of static friction!). FORE CONTINUING, record your results from part 1 above in the appropriate places in the lab.

Explanation / Answer

(c)the equation for normal force is

the net vertical force along vertical direction is zero

Fy = 0

n- mg cos theta = 0

n = mg cos theta

(b)so normal force less than the its weight

(e)

frction force equation is

fs = mg sin theta

(d) so frction force is less than the weight

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