resting on a ramp. If the coefficient of static friction between the block and the ramp is 0.370, what maximum angle can the ramp make with the horizontal before the block starts to slip down? U OT UCKI
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- Jamal and Dayo are lifting a large chest, weighing 207 lb, by using the two rope handles attached to either side. As they lift and hold it up so that it is motionless, each handle makes a different angle with respect to the vertical side of the chest (Fig. P5.76). If the angle between Jamals handle and the vertical side is 25.0 and the angle between Dayos handle and the vertical side of the chest is 30.0, what are the tensions in each handle? FIGURE P5.767. Suppose a 25.0 kg block rests on a horizontal plane, and the static friction coefficient between the surfaces is 0.220. (a) What is the maximum allowable static frictional force that could act on the block? (b) What is the actual static frictional force acting on the block if a 25.0 N external force acts horizontally? Assume g 9.80 m/s.8. A block is at rest on a rough inclined plane and is connected to an object with the same mass as shown. The rope may be considered massless; and the pulley may be considered frictionless. The coeffi- cient of static friction between the block and the plane is us; and the coefficient of kinetic friction is k 0 A. g D. g - Hk sin(0) m a. What is the magnitude of the static frictional force acting on the block? B.m g [1 - sin(0)] C. mg D. mg cos(0) B. g - Hk cos(0) A. m g sin(0) E. mg [1 - cos(0)] b. If the rope were cut between the block and the pulley, what would be the magnitude of the acceleration of the block down the plane? C. g [sin(0) - μ cos(0)] sin(0)] c. If the mass of the suspended object is doubled, what will be the acceleration of the block up the plane? B. g [2 tan(0) - uk sin(0)] D. 2g [μ sin(0) - cos(0)] m E. g [tan (0) A. g [2 - μk sin(0)] C. g [2 cos(0) - μ sin(0)] E. g [2 sin(0) Hk Cos (0)]. -
- 6. A box is on a ramp inclined at 25° to the horizontal. The coefficient of static friction is .30, and of kinetic friction .20. 1²=30 pe Me=20m a. The box slides down the ramp. b. The box stays on the ramp without slipping. c. The box first slips, but then stays fixed after slowing down. d. We need the mass of the box to answer the question. 3250 www th mg OL M = mg COSTSmy COMO Example 1: Suppose a block with a mass of 2.5 Kg is resting on a ramp. If the coefficient of static friction between the block and ramp is 0.35, what maximum angle can help the ramp make with the horizontal before the block starts to slip down? yg sin 0 Ang cos 8e mg 6.The required tension in cable AB is 200 lb. (Note: Point C is a pin joint.) C 15 in.- D Draw a free body diagram (a) ( (b) Determine the vertical force P that must be applied to the pedal. 60° 7 in. A В
- 6. Two blocks, stacked one on top of the other, can move without friction on the horizontal surface shown in the followinf figure. The surface between the two blocks is rough, however, with a coefficient of static friction equal to 0.47. (a) If a horizontal force F is applied to the 5.0 kg bottom block, what is the maximum value of F can have before the 2.0 kg top block begins to slip? (b) If the mass of the top block is increased, does the maximum value of F increase, decrease, or stay the same? Explain. 2.0 kg 3 5.0 kg(a) Calculate the tension (in N) in a vertical strand of spiderweb if a spider of mass 7.00 x 10-5 kg hangs motionless on it. (Enter a number.) N (b) Calculate the tension (in N) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure. 5.0⁰- TR Tinh Tr W -5.0° The strand sags at an angle of 15.0° below the horizontal. (Enter a number.) N Compare this with the tension in the vertical strand (find their ratio). (Enter a number.) (tension in horizontal strand)/(tension in vertical strand) =6. A 100 kg scaffold is 6.60 m long. It is hanging with two wires, one from each end. A 440 kg box sits 1.50 m from the left end. What is the tension in the left hand side wire?(g = 9.8 m/s?) Newtons
- es SThis course EHide blocks The 30-kg pipe is supported at A by a system of five cords. Determine the force in the cable AB for equilibrium: B 60° Select one: O a. T(AB) = 293.83 N T(AB) = 339.83 N O c. T(AB) = 493.83 N. O d. T(AB) = 193.83 N6. Consider the 52.0 kg mountain climber shown below. (a) Find the tension in the rope and the force that the mountain climber must exert with her feet on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. (Hint: this force is a combination of normal force and friction.) (b) What is the minimum coefficient of friction between her shoes and the cliff? 31° T Fie legs 15°(a) Calculate the tension (in N) in a vertical strand of spiderweb if a spider of mass 5.00 x 10¯º kg hangs motionless on it. (Enter a number.) N (b) Calculate the tension (in N) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure. 5.0° 5.0° T. w T. TR The strand sags at an angle of 12.0° below the horizontal. (Enter a number.) N Compare this with the tension in the rtical strand (find their ratio). (Enter a number.) (tension in horizontal strand) / (tension in vertical strand)