1) Imagine that you are bicycling on a flat surface. What would be the minimum radius of the track around which you can travel if your speed is 50 km/hr and µs = 0.3?
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1) Imagine that you are bicycling on a flat surface. What would be the minimum radius of the track
around which you can travel if your speed is 50 km/hr and µs = 0.3?
2)
Given that |F | = 25 N, m2 = 3 kg, θ = 50◦ and m1 = 2.5 kg for the situation shown be-
low. Assume that the floor, plane, and pulley are frictionless, and the masses of the pulley and cord are
negligible. Find the tension in the cord.
assume g=10ms^2
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- An object weighing 32 lb stretches a spring 2ft in equilibrium. There is also a damping force with c = 8. The spring is raised 2 ft and thrown upwards with a velocity of 4ft/sec. Determine the mass m and the spring constant k, and give the differential equation describing the harmonic motion of this system. Solve the differential equation to find the displacement y.9) A bicyclist rides on a circular track. The coefficient of friction between the wheels and the track is 0.8. If the bicyclist maintains a constant speed of 15 m/s, what is the minimum radius of the track so that the bicyclist's wheels will not slip? 10) An object in uniform circular motion makes 15 revolutions every 6 seconds. If its centripetal acceleration is 4.5 m/s², what is the radius of its motion?5. A student conducts an experiment in which a ball is spun in a vertical circle from a string of length 1 m, as shown in the figure. The student uses the following equation to predict the force of tension exerted on the ball whenever it reaches the lowest point of its circular path at a known tangential speed for various trials. 1 m `0.5 kg Side View When the experiment is conducted, the student uses a force probe to measure the actual force of tension exerted on the ball. Tangential Speed (#) Predicted Force of Tension Actual Force of Tension Trial (N) (N) 1 1 0.5 5.5 2 2 2 7 3 3 4.5 9.5 Why is the predicted force of tension different than the actual force of tension?
- A 0.80 kg ball , attached to the end of a horizontal cord , is rotated in a acircle of radius 2.0m on a frictionless horizontal surface , if the cord will break when the tension in it exceeds 80 N , what is the maximum speed the ball can have ?.A 0.50 kg mass is attached to a string 1.0 m long and moves in a horizontal circle at a rate of 2.0 Hz. a) Calculate the centripetal acceleration of the massA 4.5kg rock is tied to a 2.15 m piece of string and swung in a vertical circle. Determine the speed required to spin the rock to achieve a minimum tension of 120N.
- Problem 5 Consider a vector Q that rotates at angular frequency w about some fixed axis of rotation (). Further, Q is at a fixed angle a relative to that axis. Show that the time rate of change of Q is given by dě dt =w x QA 1.5kg rock is tied to the end of a 1.25m string and is swung in a vertical circle at a constant speed of 4.5 m·s−1. If the string breaks when the tension is 135 N, calculate the maximum speed that the rock can be swung without breaking the string?Will upvote for the correct answer, thank you!
- Algebraic relation. Two particles, A and B, are in uniform circular motion about a common center. The acceleration of particle A is k times that of particle B and the speed of A is 3 times that of B. Find the numerical value of the ratio of their radii, A/B if [] k 9.4 B = 1.4 TA/TB = Please record your numerical answer below, assuming three significant figures.A car of massm travels around a flat, circular curve of radius r at the fastest possible speed, v = 13.5 m/s without sliding off. The car and road have a coefficient of friction, between them. If the car wishes to take the turn at 2.4x the velocity, by what factor would the radius need to increase (so the car doesn't slide off) ? Give your answer to 1 decimal place.A cellphone steps into a “Graviton” and stands up against the frictionalwall. The Gravitron starts to spin and the floor lowers below the cellphone butthe cellphone does not accelerate downwards, she has no net force vertically. Assume:● The radius of the Gravitron is 7.5 m● The cellphone has a tangential velocityof 15 m/s● The man has mass M Determine: Determine the minimum coe cient of static friction between the wall and the cellphone.