Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Body A weighs 106 N, and body B weighs 33 N. The coefficients of friction betwee

ID: 1691256 • Letter: B

Question

Body A weighs 106 N, and body B weighs 33 N. The coefficients of friction between A and the incline are µs = 0.56 and µk = 0.25. Angle ? is 40°. Let the positive direction of an x axis be up the incline.

(b) Find the acceleration of A if A is moving up the incline.
_______________ m/s^2 i hat

(c) Find the acceleration of A if A is moving down the incline.
________________ m/s^2 i hat

Hint: Write Newton's second law for each block, using different coordinate systems. Let T be the force on the blocks from the string. What component of the gravitational force is down the plane and what component is perpendicular to the plane? What is the normal force on A?

Explanation / Answer

we can calculate the acceleration of the block when it is moving up the plane by using the formula    a= g(sin40+µkcos40) similarly when the block is moving down the plane the acceleration= a= g(sin40-µkcos40) as we know all the values substitute the values and find out the corresponding accelerations

a= g(sin40-µkcos40) as we know all the values substitute the values and find out the corresponding accelerations