In the figure, a climber with a weight of 540 N is held by a belay rope connected to her climbing harness and belay device; the force of the rope on her has a line of action through her center of mass. The indicated angles are 0 = 35° and = 25°. If her feet are on the verge of sliding on the vertical wall, what is the coefficient of static friction between her climbing shoes and the wall? μs=Number Units
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- a 55 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width w = 0.20 m, and the center of mass of the climber is a horizontal distance d = 0.40 m from the fissure. The coefficient of static friction between hands and rock is m1 = 0.40, and between boots and rock it is m2 = 1.2. (a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) For the horizontal pull of (a), what must be the vertical distance h between hands and feet? If the climber encounters wet rock, so that m1 and m2 are reduced, what happens to (c) the answer to (a) and (d) the answer to (b)?A 1500 N block is in contact with a level plane whose coefficient of kinetic friction is 0.12. If the block is acted upon by a horizontal force of 250 N, what time, in seconds, will elapse before the block reaches a velocity of 14.5 m/s, starting from rest?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 P5.76
- A makeshift sign hangs by a wire that is extended over an ideal pulley and is wrapped around a large potted plant on the roof as shown in Figure P6.10. When first set up by the shopkeeper on a sunny and dry day, the sign and the pot are in equilibrium. Is it possible that the sign falls to the ground during a rainstorm while still remaining connected to the pot? What would have to be true for that to be possible? FIGURE P6.10 Problems 10 and 11.In the figure, block M2 is sitting on a table and is connected by mass-less chords to block M1 and to a vertical wall. The coefficient of static friction between M2 and the table is Us=0.60. Block M1 has a mass of 8 kg. The angle made by the chord and the wall is 55 degrees. What minimum mass must block M2 have in order to remain stationary and not slide?The figure shows an object of mass ?1 = 1.0 kg on an inclined frictionless surface. The angle of theinclined surface is ? = 25 with respect to the horizontal. The object of mass ?1 is connected by anideal string over an ideal pulley to a second object of mass ?2 = 2.05 kg on a horizontal frictionlesssurface below the overhang that is formed by the inclined surface. Furthermore, an external force ofmagnitude ???? = 10 N is exerted on the object with a mass ?1. We observe both objects accelerate. i. Draw separate free-body diagrams of all the forces acting on the two objects ii. Calculate the tension in the string connecting the two objects.
- Two forces, F1 and F2, act on the 7.00-kg block shown in the drawing. The angles made by the forces with horizontal are equal to 40 degrees. The magnitudes of the forces are F1= 59 0 N and F2 = 49.0 N. The coefficient of kinetic friction between the block and the surface is 0.1.In the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 55 kg vaulter is moving at 2.5 m/s and is 5.1 m from the bottom end of the pole. What vertical force does the pole exert on the vaulter?A block of mass 4.20 kg is pushed up against a wall by a force P that makes an angle of θ = 50.0°angle with the horizontal as shown below. The coefficient of static friction between the block and the wall is 0.270.
- The horizontal surface on which the objects slide is frictionless. If F = 6.0 N and M = 1.0 kg, what is the magnitude of the force exerted on the large block by the small block?In about 1915, Henry Sincosky of Philadelphia suspended himself from a rafter by gripping the rafter with the thumb of each hand on one side and the fingers on the opposite side. Sincosky’s mass was 79 kg. If the coefficient of static friction between hand and rafter was 0.70, what was the least magnitude of the normal force on the rafter from each thumb or opposite fingers? (After suspending himself, Sincosky chinned himself on the rafter and then moved hand-over-hand along the rafter. If you do not think Sincosky’s grip was remarkable, try to repeat his stunt.)There are two forces on the 1.19 kg box in the overhead view of the figure but only one is shown. For F1 = 15.7 N, a = 14.7 m/s2, and θ = 34.1°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)