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(III) Determine a formula for the acceleration of the system shown in Fig. 4–45 (see Problem 51) if the cord has a non-negligible mass mC. Specify in terms of
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- (III) Two masses ma = 2.0 kg and mg = 5.0 kg are on inclines and are connected together by a string as shown in Fig. 4-61. The coefficient of kinetic friction between each mass and its incline is uk = 0.30. If ma moves up, and mB moves down, determine their acceleration. [Ignore masses of the (frictionless) pulley and the cord.] mB 51° 21° FIGURE 4–61 Problem 65.arrow_forward(II) A particular race car can cover a quarter-mile track (402m) in 6.40s starting from a standstill. Assuming the acceleration is constant, how many "g's" does the driver experience? If the combined mass of the driver and race car is 535 kg, what horizontal force must the road exert on the tires?arrow_forwardBob traverses a chasm by stringing a rope between a tree on one side of the chasm and a tree on the opposite side, 25 m away, Fig. 4–65. Assume the rope can provide a tension force of up to 29 kN before breaking, and use a "safety factor" of 10 (that is, the rope should only be required to undergo a tension force of 2.9 kN). (a) If Bob's mass is 72.0 kg, determine the distance x that the rope must sag at a point halfway across if it is to be within its recommended safety range. (b) If the rope sags by only one- fourth the distance found in (a), determine the tension force in the rope. Will the rope break? FIGURE 4–65 Problem 74.arrow_forward
- A crane's trolley at point P in Fig. 4–63 moves for a few seconds to the right with constant acceleration, and the 870-kg load hangs on a light cable at a 5.0° angle to the vertical as shown. What is the acceleration of the trolley and load? P i 5.0° FIGURE 4–63 Problem 69.arrow_forward(III) (a) Suppose the coefficient of kinetic friction between ma and the plane in Fig. 4-62 is µk = 0.15, and that mA = mB = 2.7 kg. As mB moves down, determine the magnitude of the acceleration of ma and mg, given 0 = 34°. (b) What smallest value of pk will keep the system from accelerating? [Ignore masses of the (frictionless) pulley and the cord.] mB FIGURE 4-62 Problem 67.arrow_forwardA train locomotive is pulling two cars of the same mass behind it, Fig. 4–51. Determine the ratio of the tension in the coupling (think of it as a cord) between the locomotive and the first car (FT1), to that between the first car and the second car (FT2), for any nonzero acceleration of the train. You need to draw a FBD for each car.arrow_forward
- 2-33. Determine the resultant of the force system in Fig. P 2-33 and locate it with reepect to point O. The 100-lb and 80-lb forces are tangent to the circle. 100 30 FIG. P 2-33arrow_forward(II) Two snowcats in Antarctica are towing a housing unit north, as shown in Fig. 4–50. The sum of the forces F→A and F→B exerted on the unit by the horizontal cables is north, parallel to the line L, and FA = 4500 N. Determine FB and the magnitude of F→A+F→B.arrow_forwardPleasearrow_forward
- (III) A pilot performs an evasive maneuver by diving vertically at 270 m/s .If he can withstand an acceleration of 8.0 g’s without blacking out, at what altitude must he begin to pull his plane out of the dive to avoid crashing into the sea?arrow_forwardTwo blocks made of different materials, connected by a thin cord, slide down a plane ramp inclined at an angle 0 to the horizontal, Fig. 4–76 (block B is above block A). The masses of the blocks are ma and mB, and the coefficients of fric- tion are ua and µr. If ma = mß = 5.0 kg, and HA = 0.20 and uR = 0.30, determine (a) the acceleration of the blocks and (b) the tension in the cord, for an angle 0 = 32°. MB FIGURE 4–76 Problem 94.arrow_forwardThe engine of a small trailerspecial, mass 10 tons, exerts a forceparallel to its displacement and in the same direction,variable as shown below.Determine the final speed of this trailer, in km/h, at the end of the 20 m displacement, if its initial speed is 7 km/h.arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University