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Q: In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle = 27.8°. The…
A: The given values are, θ=28.4°L=32.4 mT=5.92 mW=14.3 mρ=3.2 g/cm3=3.2×103 kg/m3μs=0.385A=6.05…
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Q: In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle = 25.6°. The…
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A 3-kg block is at rest relative to a parabolic dish which rotates at a constant rate about a vertical axis. Knowing that the coefficient of static friction is 0.5 and that r= 2 m, determine the maximum allowable velocity v of the block.
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- A small vochito of mass 607 kg breaks down as it climbs a hill with an angle of inclination of 17° hel. coefficient of friction between the car and the surface is 0.75. What is the magnitude of its acceleration as it moves down the ramp?A 1.57 kg mass is sliding across a horizontal surface an initial velocity of 12.9 m/s i. If the object then comes to a stop over a time of 4.23 seconds, what must the coefficient of kinetic be? Assume that only friction, the normal force, and the force due to gravity are acting on the mass. Enter a number rounded to 3 decimal places.In an old-fashioned amusement park ride, passengers stand inside a 3.90 m diameter hollow steel cylinder with the backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a coefficient of static coefficient of friction against steel in the range of 0.690 to 1.0 and a kinetic coefficient in the range 0.480 to 0.70. A sign next to the entrance says "No children under 30 kg allowed." What is the minimum angular speed in rpm (do not enter units) for which the ride is safe? Assume that the local acceleration due to gravity is -9.80 m/s². Submit Answer Tries 0/10
- In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 8 = 22.8°. The slab has length L = 48.9 m, thickness T = 6.61 m, and width W = 12.7 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.312. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.47 cm² and will snap under a shearing stress of 3.59 x 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.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 velocityIn the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle θ = 28.4°. The slab has length L = 32.4 m, thickness T = 5.92 m, and width W = 14.3 m, and 1.0 cm3 of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.385. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.05 cm2 and will snap under a shearing stress of 3.34 × 108 N/m2, what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.
- A toy jeep rolls down an incline at a constant velocity. The jeep's mass is m = 1.9 kg and the ramp makes an angle of θ = 17 degrees with respect to the horizontal. Assume the rolling resistance is negligible. Assuming the jeep experiences only air resistance in opposition to its motion, with magnitude Fr. Write an expression for the sum of the forces in the x-direction using the acceleration due to gravity, g, and the variables provided.Block A in the figure has mass mA = 4.20 kg, and block B has mass mg = 2.00 kg. The coefficient of kinetic friction between block B and the horizontal plane is k = 0.500. The inclined plane is frictionless and at angle = 30.0°. The pulley serves only to change the direction of the cord connecting the blocks. The cord has negligible mass. Find (a) the tension in the cord and (b) the magnitude of the acceleration of the blocks. Frictionless, massless pulley MA mp BA student of weight 655 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force FN on the student from the seat is 562 N. (a) What is the magnitude of FN at the lowest point? If the wheel's speed is doubled, what is the magnitude FN at the (b) highest and (c) lowest point?