Question

FR-8 Alika is holding a 75.0kg crate at rest against a wall using a cable passing over a pulley as shown to the right. The coefficients of friction between the crate and wall are: 14-0.185 and 0.400. cable 65.09 a) You are going to find the smallest value of the tension T in the cable that will hold the crate at rest. 1) Draw the free body diagram for the crate on a figure like the figure to the right and write Newton's second law in symbolic form for the horizontal (x) and vertical (y) directions (use no numbers other than the angle in this step). 2) Use your equations from step 1) to find a symbolic solution for the smallest value of tension T in the cable that will hold the crate in place. 3) Put numbers into your equation from step 2) to find the numerical value for this T. b) Now you are going to find the largest value of tension in the cable for which the crate will not move. 1) Draw the free body diagram for the crate on a new figure and write Newton's second law in symbolic form for the horizontal and vertical directions (use no numbers other than the angle in this step). 2) Use your equations from part b), step 1), or modify your result from part a), step 2), above to find a symbolic solution for the largest value of tension T in the cable that will hold the crate in place. 3) Put numbers into your equation from step 2) to find the numerical value for this T. You may use relevant numbers from part a), step 3).

Answer 1

WR2 Oliven, mass of crate = 75kg, Mx=0485, I = 10400! (o for smallert value of Temion par Block is in impending state FBD for mars m to move PARLT fines downward 7 Tonys To mN N=Tasus mg Mg N-0.400 × T Casus. Thinks it fs = mg. =), Tsints + MT Conss=img. Tri mg 75x19.81 1684.3889 fintstis Casos 0.906 +00169 1 (bl for largert value of Tension: FBD for mars , Block is in impending State to move up. N = Tones I n Things 2 Thorus Tonts' ts = les n=0.400 X Tsints = mg tots Tsints - MT Corts = mg . To mg 75x908) finos-luas 65 0.906 - 0216g 998 .303N So Tmin= 1684 +388N], Tmax (99 8.30 3N] 684.388N 998-303N