Question

Please show work!

that Fin 0.5FG. distance. 2 u r 1 Fin Fin S 20 cm S=10 cm h=10 cm h=10 cm

A pulley of negligible mass is attached to a block weighing 504 N. A person uses the rope and pulley system illustrated in the figure to lift the block at a constant velocity. The pulleys and rope are all ideal.

F_G=____________ ?

A. Draw the free body diagram for the block. (Observe that three are two rope segments pulling on the block.)

B. Apply Newton's first law and determine the tension in the rope, and thus, the force F_in necessary to lift the block at a constant velocity.

C. (Block and Tackle) In case 1, the rope is pulled a length of 10 cm, the block rises 10 cm. In case 2, however, if you pull the rope 20 cm, each rope segment in contact with the block reduces its lenght by 10 cm, so the block only rises 10 cm. We use less force, but pay the price in the length of the rope. Calculate the work done by the input force F_in if the lenght of pulled rope is d_in=1.0 M.

D. Calculate the block's change in gravitational potential energy Ug as its rasised a height of height d_out=.5 m.

E. Calculate the IMA

F. Suppose that you needed to apply a force F_in=280 N to lift the block, instead of the value found in part b. Calculate the AMA of the block and tackle, that is, the ratio F_G/F_IN.

G. What is the efficiency?

Answer 1

504 N Case 1 Can 2 FBD oblock FBD M Fa (Since block must move n const veloity, acceleration Cae 2 Care L s 27 504 i 504 N た=252N Fn=T52M (c) Case 1 Cae 2 fin= d Elok dene Work done * - 564X1m =252 252J

Cuils 0Sm at oised Case emain Same U-Potential Eney = mgh m 252 丁
please rate it positively

Thanks