3. A bead is free to slide along a frictionless hoop of radius r. The plane of the hoop is horizontal, and the center of the hoop travels in a horizontal circle of radius R, with constant angular speed w, about a given point. Find the equation of motion for the position of the bead. Also, find the force of constraint. m 0 Ø R @t
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- A roller-coaster car of mass 309 kg (including passengers) travels around a horizontal curve of radius 35.2 m. Its speed is 21.3 m/s. a. What is the magnitude of the total force exerted on the car by the track? answer in N b. What is the direction of the total force exerted on the car by the track? Enter a positive angle if the direction is above horizontal and a negative answer if the direction is below horizontal. answer in degrees c. If the track is frictionless, then what banking angle would ensure that the car does not slide off of the track? (The banking angle is the angle between the direction normal to the track and the vertical.) answer in degreesA uniform solid cylindrical log begins rolling without slipping down a ramp that rises 26.8° above the horizontal. After it has rolled 7 m along the ramp, what is the magnitude of its linear acceleration? Express your answer in m/s², to at least one digit after the decimal point.A 0.500 kg particle moves in a circle of radius 0.150 m at constant speed. The time for 20 complete revolutions is 31.7 s. What is the period T of the motion? What is the speed of the particle?
- A ball thrown into the air by a child follows a parabolic path.The ball is 3.84 feet off the groundwhen the child releases the ball, and reaches a maximum height of 7.84 feet when it is at ahorizontal distance of 5 feet from the child. Draw a picture representing the situation. Make sure to label what you know. Determine the equation of the function representing the situation. Determine how far from the child the ball will be when it hits the ground.I Review i Two satellites are in circular orbits around a planet that has radius 9.00 × 10° m. One satellite has mass 68.0 kg, orbital radius 6.00x107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 5.00x107 m. Part A What is the orbital speed of this second satellite? Express your answer to three significant figures and include the appropriate units. HẢ ? V = Value Units Submit Request AnswerA 6x10-4 kg object is moving uniformly on a horizontal circular path of radius r = 6.3 m. a. Find the period, T, the time for one rotation if its speed is 5x104 m/s. b. Calculate its centripetal force.
- Answer a and cHow do you get part CA person pushing a uniformly-loaded 31.7 kg wheelbarrow of length L with pushing force P is attempting to get it over a step. The maximum horizontal force that the person can apply is P, = 233 N. What is the maximum height h of the step, expressed as a fraction n of the wheel's radius R. that the person can get the wheelbarrow over? The gravitational acceleration is g = 9.81 m/s². 8459 R Incorrect hnR
- A small object of mass 0.500 kg is attached by a 0.870 m- long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 7.85 m/s. What is the magnitude of the radial acceleration of the object? Was given an answer of 70.83 but it’s wrong.George swings a ball around him, in uniform circular motion. The circle's radius is r. George inadvertently releases the string, and the ball goes outward. He catches the string again, and now the ball goes around him at a new rotation rate, with a new radius r + Δr. Calculate the new rotation rate (in rev/s). r = 3.0 m Δr = 1.0 m Original rotation rate = ωi = 1.1 rev/s The ball's mass is m = 160 gramsI am having trouble with a 3 d motion problem. The problem is as follows, "A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.600 m/s in 1.80 s. At t = 1.29 s, find the magnitude and direction of each of the following." The problem asks me to find the radial acceleration, the tangential acceleration, and the total acceleration of the point. Thanks for the help.