A rock attached to a string swings with constant speed in a vertical circle. Which free body diagram could correctly describe the force(s) on the rock when it is at the lowest point
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A: Given, Speed of the car, v = 17 m/s radius of the unbanked curve, r = 35 m
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A: as per our guidelines we are supposed to answer only one question. Kindly repost other questions as…
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A: here WE ASSUME inclination angle =θ ,friction coefficient =μ cart is rolling a=g sinθ / 1+ n…
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A: Given : L = 25 cm = 0.25 m
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A: Free body diagram
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A: The free body diagram at different clock positions is shown below.
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A: Given that, A conical pendulum is a weight or bob fixed on the end of a string suspended from a…
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- A pilot of weight w=170 lb in a jet aircraft executes a loop-the loop, as shown in Figure 4. In this maneuver, the aircraft moves in a vertical circle of radius 2.70 km at a constant speed of 225 m/s. Determine the ratio of the forces exerted by the seat on the pilot at the bottom and at the top of the loop.A 1600kg car moving on a flat, horizontal road negotiates a curve . If the radius of the curve is 40m and the coefficient of static friction between the tires and dry pavement is 0.65. a) Draw a free body diagram for the car . b) Calculate the maximum speed the car can have and still make the turn successfully.A stunt pilot is flying through the bottom of a vertical loop of radius 150.0 m. Determine the plane speed in km/h if the pilot feels the seat exert a normal force that is four times their weight at that point in the loop. Include a free body diagram in your solution.
- On the ride “Spindletop” at the amusement park Six Flags Over Texas, people stood against the inner wall of a hollow vertical cylinder with radius 2.5 m. The cylinder started to rotate, and when it reached a constant rotation rate of 0.60 rev/s, the floor dropped about 0.5 m. The people remained pinned against the wall without touching the floor. (a) Draw a force diagram for a person on this ride after the floor has dropped. (b) What minimum coefficient of static friction was required for the person not to slide downward to the new position of the floor? (c) Does your answer in part (b) depend on the person’s mass? (Note: When such a ride is over, the cylinder is slowly brought to rest. As it slows down, people slide down the wall to the floor.)Car enters a 300 m radius horizontal curve on a rainy day when the coefficient of static friction between its tires and the road is 0.6. What is the maximum speed at which the car can travel around this curve without sliding?A ball of mass m is suspended on a light string of length l from the ceiling. The ball is then put into motion such that it rotates in a horizontal circle with a rotation rate of w ( rad/s). Notice that the string makes an angle of with respect to the vertical during this motion. A ) if the ball moved at twice it's first rotation rate, find the new angle the string would make with respect to the vertical. B) find the tension in the string at this new rotation rate. C) how much faster is the ball speed with this new rotation rate as compared to the oroginal speed? Find a ration of the two speed.
- A car of mass m negotiates a right hand 90° turn at constant speed v on a flat road such that the radius of the turn is given by r. The time the car takes to go around the turn is t. There is friction f between the tires and the road. The car makes the turn at high speed without doing into a skid (slide). After the turn the car continues down the road at constant speed. (A) Draw a free-body diagram which shows the forces acting on the car and the radius of the curve. Assume rolling friction and air drag are negligible (and that no propulsion force is required to maintain a constant speed). Include your coordinate axes. (B) Use Newton's second law to write an equation for the resulting centripetal force. Solve this equation for centripetal force in terms of: the mass of the car m, the radius of the curve r, time to make the curve t, and any needed constants of proportionality. Simplify as possible. (C) If the car makes the turn in 3.80 seconds and the right hand turn in the road has a…car travels at a steady 40.5 m/s around a horizontal curve of radius 251 m. What is the minimum coefficient of static friction between the road and the car's tires that will allow the car to travel at this speed without sliding?An airplane flys in a circular loop with radius of 750m, the pilot of the airplane have a mass of 75kg. The airplane moves with a constant velocity of 100m/s. a) How much force is being put on the pilot from the seat in the top and bottom of the loop? b) What is the speed if the pilot loses contact with the seat at the top of the loop?
- A sport car moves around a banked curve at just the right constant speed v so that no friction is needed to make turn. During the turn, the driver (mass m) feels as though she weighs x times her actual weight. Find the magnitude of the net force on the driver during the turn in terms of m,g and x. Fnet? b) Find the radius of the turn.A small car with mass 0.660 kg travels at constant speed on the inside of a track that is a vertical circle with radius 5.00 m (Figure 1). If the normal force exerted by the track on the car when it is at the top of the track (point B) is 6.00 N, what is the normal force on the car when it is at the bottom of the track (point A)?While travelling on the highway, a car goes around a curve of radius r at the speed limit v. The curve is banked to improve the safety and ensure that cars stay in their specific lanes, as shown in the figure. (a) Draw the free body diagram of the car on the incline. Include your chosen set of axes in the sketch. (b) Describe the relationship between the weight and the normal force. (c) Determine the angle at which the road should be banked in order for the cars to safely navigate the curve without slipping in the absence of friction between the tyres and the road surface. (d) In what direction will the frictional force need to be if the car were travelling over the speed limit and still remained in its lane. ...