You gave a friend an outrageously large birthday present of mass m=29.7 kg. They are excitedly holding it using both hands on opposite sides of the box. Each hand applies a normal force of equal magnitude to each side of the box. The coefficients of static and kinetic friction between their hands and the paper are μS = 0.61 and μK = 0.23, respectively. The box is on the verge of slipping but they just manage to hold it. HAND y HAND ४ What is the magnitude of the normal force applied by EACH of their hands to the box? Provide your answer in Newtons to one decimal place.
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- A small block with mass m is set on the top of an upside-down hemispherical bowl. If the coefficient of static friction between the block and the bowl is μs and the block is slowly repositioned at different points down the surface of the bowl, at what angle measured from the vertical will the block begin to slide? Write your answer in terms of the mass, m; the gravitational acceleration on Earth, g; and the coefficient of static friction, μs. (Assume the +y axis is vertically upward.)A 250 gram block on a 30 deg inclined plane is attached by an inextensible string going over a frictionless pulley to a 500 gram hanging weight. The static and kinetic friction coefficients are .25 and .123. While moving, what is the tension ii the connecting string? O 174530 dynes O 121000 dynes O 262400 dynes O 7430 dynes O 42930 dynesTwo blocks of masses M1 = 3.5 kg and M2 = 5.7 kg are at rest on a horizontal surface with a coefficient of friction uk = 0.12. You start them moving by pushing on block 1 with a force F1H = 33 N at an angle of 42 degrees below the horizontal. The magnitude of kinetic friction force on each bock is f1 = 6.76 N and f2 = 6.70 N Determine the acceleration of the blocks and the magnitude of the normal force between the blocks.
- Two blocks of mass m, = 10 kg and mg = 5 kg are connected by a massless string that passes over a pulley as shown in the figure. The system is in static equilibrium. There is friction between m, and the inclined surface (u.-0.4), Neglect the friction between the string and the pulley. Determine the tension in the string. 10 kg 5.0 kg 37 65.35 N () 147.0 N 98.0 N 49.0 N O 52.3 NThe chain binder is used to secure loads of logs, lumber, pipe, and the like. If the tension T₁ is 3.4 kN when 0 = 33°, determine the force P required on the lever and the corresponding tension T₂ for this position. Assume that the surface under A is perfectly smooth. Assume a = 100 mm, b = 460 mm. T₁ Answers: P = T₂ = i i 9 A B KN 2 KN 2 b Topoces T₂Baldwin Young is conducting his famous toupee experiments. He tips his head at a given angle and determines the coefficient of static and kinetic friction between a toupee (which is probably his own) and his scalp. At an angle of just barely 17.5 degrees, the toupee begins to accelerate from rest. Then Baldwin lowers the angle to 13.8 degrees to observe that the toupee moves with a constant speed. Use this information to determine the coefficients of both static and kinetic friction. Begin with a free-body diagram. PSYW
- The system shown consists of 3 cables. For instance; cable C12 joins points 1 and 2. The coordinates of point 1 are (7.79, 0, 0) m, those of point 2 are (0, 7.58, 9.77) m, and those of point 3 are (0, 7.58, -9.77) m. The force P = 99 kN. Determine the force in cable C14.A stone has a mass of 8.79 g and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.818. When the tire surface is rotating at 10.9m/s, the stone flies out the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 2.46 N. Assume that only static friction supplies the centripetal force, and determines the radius r of the tire (in terms of m)Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. A student creates a data table (see image) for the net force exerted on the block during the speeding up and slowing down portions of the experiment. (d) Does the block of mass M spend more time speeding up or slowing down? Justify your answer.
- A loaded penguin sled weighing 61.0 N rests on a plane inclined at angle θ = 23.0° to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction is 0.260, and the coefficient of kinetic friction is 0.120. (a) What is the minimum magnitude of the force ?→�→, parallel to the plane, that will prevent the sled from slipping down the plane? (b) What is the minimum magnitude F that will start the sled moving up the plane? (c) What value of F is required to move the sled up the plane at constant velocityA small box with a weight of 35.0 N is placed on top of a larger box that has a weight of 80.0 N. The system of two boxes is at rest on a horizontal surface (the larger box is in contact with the surface). You apply an additional downward force of 30.0 N to the top of the small box by resting your hand on it. For this problem, use g = 10 N/kg. (a) What is the magnitude of the force exerted on the large box by the small box? (b) What is the magnitude of the force exerted on the large box by the surface? Now, imagine that the horizontal surface is the floor of an elevator, and the boxes are in the elevator, which has an acceleration directed downward of 1.00 m/s?. (c) What is the magnitude of the force exerted on the large box by the small box in this case? (d) What is the magnitude of the force exerted on the large box by the surface in this case? NA wracking ball is suspended below two cables each at an angle with the horizontal. The left cable has tension T1 and angle 39 degrees with the horizontal. The right cable has tension T2 and angle 24 degrees with the horizontal. The Wracking ball has mass 160 kg.