A rope of length L = 2.2 m and mass m = 5 kg is initially at rest and can slide on an inclined surf with incline e = 10 as shown in the figure. Assume that the part of the rope that is not on the inclined surface hangs down vertically at all times and that the static friction coefficient between th rope and the surface is μ = 0.21.
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Calculate the work done by friction as a function of y
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- Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.The 100lbs cylinder shown in the figure is held at rest by a weight P suspended from a cord wrapped around the cylinder. If slipping impends between the cylinder and the incline, determine P and the coefficient of frictionA 6-m long ladder has a mass of 16 kg, and its center of gravity is 2.4 m from the bottom along the ladder. The ladder is resting on a 5° upward sloping floor at A and on a wall inclined to the right at 5° from the vertical at B, so that it makes an angle of 60° with the horizontal.How far up along the ladder can a 79-kg man climb before the ladder is on the verge of slipping? The angle of friction at all contact surfaces is 15°. Also determine the total reaction at A and B in Newton. Note: Point A is at the left of point B.
- A 6-m long ladder has a mass of 10 kg, and its center of gravity is 2.4 m from the bottom along the ladder. The ladder is resting on a 5° upward sloping floor at A and on a wall inclined to the right at 5° from the vertical at B, so that it makes an angle of 60° with the horizontal. How far up along the ladder can a 78-kg man climb before the ladder is on the verge of slipping? The angle of friction at all contact surfaces is 15°. Also determine the total reaction at A and B in Newton. Note: Point A is at the left of point B. SOLVE ASAPIn order to burgle a local McDonald's, the Hamburglar must climb onto the roof. To do this, a ladder of length 3.31 m and mass 21.2 kg is placed leaning against a vertical wall, as shown in the image below. There is negligible friction between the ladder and the wall, but the same is not true for the ladder and the ground: us ≠ 0 between those two surfaces. Even with that friction, the ladder will start slipping if the angle ø ladder makes relative to the ground is less than 71.0°. Assuming the ladder is uniform (so that its center of gravity is located at its geometric center), what must be the maximum static frictional force (in N) that exists between the bottom of the ladder and the ground? Explain how you solved the problem involving a ladder leaning against a wall. Be sure to state what your known and unknown quantities are, what concepts were applied, and what equations were used!Box A weighs 1000N and has a height of H1=3m and width W1=2m. Box B weighs 800N. the static friction coefficient between the boxes is uA=0.7 and the static friction coefficient between box B and the ramp is uB=0.5. Find the max allowable angle for the following instances where no motion occurs, box A and B remain stationary. 1) Box A slides, Box B remains stationary 2) Box A tips, Box B remains stationary 3) Box B slides, Box A remains stationary on block B
- A rope of Length L = 3m and mass m= 3Kg is initially At rest and can slide on an inclined surface with Inclined theta = 15° as shown in the figure. Assume that the part of the rope that is not on the Inclined surface hanges down vertically at all times and that the static friction coefficient between the rope and the surface is MUs = 0.36 a) calculate the maximum value of b for which the rope will NOT start sliding down the slope. Assume that b = 0.33m and that the coefficient of kinetic friction between the rope and the Inclined surface is MUk = 0.27. Let y (in metres) be the distance travelled by the rope after it has been released from rest. b) calculate the initial acceleration of the rope c) Calculate the work done by gravity as a function of yA rope of Length L = 3m and mass m= 3Kg is initially At rest and can slide on an inclined surface with Inclined theta = 15° as shown in the figure. Assume that the part of the rope that is not on the Inclined surface hanges down vertically at all times and that the static friction coefficient between the rope and the surface is MUs = 0.36 a) calculate the maximum value of b for which the rope will NOT start sliding down the slope. Assume that b = 0.33m and that the coefficient of kinetic friction between the rope and the Inclined surface is MUk = 0.27. Let y (in metres) be the distance travelled by the rope after it has been released from rest. b) calculate the initial acceleration of the rope Calculate the work done by gravity as a function of y c) calculate the work done by the friction force as a function of y Hence calculate the velocity of the rope at the moment the rope has just completely left the Inclined surfaceGate AB retains water as shown in the figure. The gate is supported every 2 m (perpendicular to the plane of view) by member BC, which is attached to a 2000 kg mass at point C. What minimum static coefficient of friction μs, along the contact surface between the mass and its base, is needed for the gatestructure to be in equilibrium? There are pins at pointsA, B, andC.
- A 12.0 kg weight hangs from a 7.50 m pole as illustrated in the diagram. The pole has a mass of 8.0 kg. Determine the tension in the cable, and the "Frictional" and "Normal" forces felt from the wall.A ladder, 8 m long and having a mass of 25 kg, rests on a horizontal floor and is supported by a vertical wall. The ladder is inclined 62°, as shown, and starts to slip when a person having a mass of 73 kg has climbed halfway up it. The coefficient of friction at the wall is 0.20. Assume the weight of the ladder to be concentrated at its midpoint. Calculate the coefficient of friction at the floor. - Draw a free-body diagram - Solve most simple wayPROBLEM: To prevent a box from sliding down an inclined plane, student A pushes on the box in the direction parallel to the incline, just hard enough to hold the box stationary. In an identical situation, student B pushes on the box horizontally. If the weight of the box w= 20.0 N, the angle made by the incline with the horizontal θ=25o, and the coefficient of static friction µs=0.16, who has the easier job?