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m= 3kg
l= 1 m
being spun vertically w/ uniform speed, v= 4m/s
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- Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. Find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. Now write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ. Now write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v.A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 18.4 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius = 97.0 m), the block swings toward the outside of the curve. Then the string makes an angle 8 with the vertical. Find 0. Number i Units To center of curveCircular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. Find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. Now write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ. Now write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v. Now assume that the car is moving at 23 m/s and the radius of the track is 270 m. What is the angle θ in degrees?
- A car enters a horizontal, curved roadbed of radius 50.0 m. The coefficient of slatic friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate the unbanked curve?The maximum static coefficient of friction between the tires of a 2000 kg car and the road is lsmax 0.25. What is the maximum speed with which the car can make a turn of radius 50 m without skidding?A car is moving with a constant speed 17.4 m/s around a level curve. The coefficient of static friction between the tires and the road is 0.5. What is the minimum radius of the curve if the car is to stay on the road? Round your answer to the nearest meter.
- A 1.2 kg mass on the end of a string is routed in a vertical circle of radius 0.85 m. If the speed of the mass at the top of the circle is 3.6 m/s. What is the tension in the string at this location?A bicycle moves on a flat (horizontal) surface on a circular path. Initially at rest, it accelerates uniformly with a tangential acceleration of 4.6 m/s2. The bicycle makes one quarter of the circle before it skids off the circular path. Find the coefficient of static friction between the bicycle and the surface.Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. Now write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v.
- A carnival ride has people stand inside a vertical cylinder with theirbacks to the wall. The cylinder starts spinning counterclockwise and theriders find that they are “stuck” to the wall and don’t slide down, evenwhen the floor is removed.The ride has a radius of r. The person has a mass of m and is movingwith a constant speed of v. The coefficient of static friction between theperson and the wall is μs , and kinetic friction μk. The person is onlytouching the wall, not touching the floor. What is the magnitude of the normal force of the wall on the person?Solve this problem using Newton’s 2nd Law. Show all your work.Give your answer in terms of variables only (r, v, m, μs, μk, and g)d) What is the smallest speed v for which the person will not slide down the wall?Solve this problem using Newton’s 2nd Law. Show all your work.Give your answer in terms of variables only (r, m, μs, μk, and g)e) Suppose that the ride spun clockwise instead of counterclockwise, but the speed was thesame.…A carnival ride has people stand inside a vertical cylinder with theirbacks to the wall. The cylinder starts spinning counterclockwise and theriders find that they are “stuck” to the wall and don’t slide down, evenwhen the floor is removed.The ride has a radius of r. The person has a mass of m and is movingwith a constant speed of v. The coefficient of static friction between theperson and the wall is μs , and kinetic friction μk. The person is onlytouching the wall, not touching the floor.a) Draw a free body diagram for the person when they are on the left-hand side, as shown.Clearly label all forces. Use the notation used in class.b) What is the magnitude and direction of the acceleration of the person?Give your answer in terms of variables only (r, v, m, μs, μk, and g)c) What is the magnitude of the normal force of the wall on the person?Solve this problem using Newton’s 2nd Law. Show all your work.Give your answer in terms of variables only (r, v, m, μs, μk, and g)d) What is the…A carnival ride has people stand inside a vertical cylinder with theirbacks to the wall. The cylinder starts spinning counterclockwise and theriders find that they are “stuck” to the wall and don’t slide down, evenwhen the floor is removed.The ride has a radius of r. The person has a mass of m and is movingwith a constant speed of v. The coefficient of static friction between theperson and the wall is μs , and kinetic friction μk. The person is onlytouching the wall, not touching the floor.a) Draw a free body diagram for the person when they are on the left-hand side, as shown.Clearly label all forces. Use the notation used in class.b) What is the magnitude and direction of the acceleration of the person?Give your answer in terms of variables only (r, v, m, μs, μk, and g)c) What is the magnitude of the normal force of the wall on the person?Solve this problem using Newton’s 2nd Law. Show all your work.Give your answer in terms of variables only (r, v, m, μs, μk, and g