20 g is attached to an elastic spring of length L = 50 cm and spring constant k = 2 Nm. The system is revolved in a horizontal plane with a frequency v= 30 rev/min. Find the radius of the circular motion and the tension in the spring. A body of mass m = %3D
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- A small block with mass 0.0300 kg slides in a vertical circle of radius 0.550 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3.75 N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0.685 N. Part A How much work was done on the block by friction during the motion of the block from point A to point B? Express your answer with the appropriate units. W friction = Submit μA Value Request Answer Units ?An object of mass 8.25 kg is travelling in a horizontal circle on a frictionless surface. It is attached to a rope that is 0.987 m long and has a tension of 16.9 N. Calculate the period of the uniform circular motion.A toy aeroplane of mass m = 1,80 kg is attached to a string of length e = 33.0 m and flys in uniform circular motion in a horizontal plane around the centre of its motion. The plane has an engine which generates thrust that keeps the plane moving at a speed of v = 30.7 km/hr. (a) What is the period of the circular motion? Period = S (b) What is the tension in the string holding the aeroplane in its circular motion? Tension = Part 3) A block sits on a sloping plane that can have its angle to the vertical p varied. The angle o initially starts at a value of 90°, and the slope is raised until at an angle o E 33.2° the block starts to slide down the slope. Calculate the coefficient of static friction for this block on this slope.
- A mass, M = 8.6 kg hangs from a string of length L = 1.26 m. The ball is pulled back so the string makes an angle 12.16 degrees with respect to the vertical and the ball is released. The ball takes 0.69757232087945 seconds to reach its lowest point. Determine the Tension, T, in the string at the lowest point.=J (e) (b) Fe= () 6. A pendulum that consists of a ball (m = 1.50 kg) attached to a light cord rotates in a circular path of radius r = 0.800 m at constant speed v, as shown in Figure. Here the angle 0 = 65°, and we ignore air friction and assume the mass of the light cord is negligible. (a) Calculate the tension T in the cord. = L. (b) Calculate the centripetal force acting on the ball. = 'd (c) Calculate the velocity v of this uniform circular motion. Answers:The crate A weighs 780 lb. Between all contacting surfaces, μs = 0.34 and μk = 0.29. Neglect the weights of the wedges. What force F is required to move A to the right at a constant rate? Wedge angle is 6 degrees.
- Masses m₂, m₂, m3 and om are connected together as shown in the figure below. All the surfaces are smooth. If m₁ = 3.2kg, m₂ = 2.8kg, m3 = 3.8kg, om = 1.3kg and = 55°, calculate a) the acceleration of the system. b) the normal force between m3 and ōm. 7²1 7122 In+one 183A jet dives vertically at a speed v = 174 m/s, before pulling out of the dive along a circular arc. The pilot can survive an acceleration of a = 8.6 g. His mass is m = 91 kg. What is the minimum radius of the circular arc, in meters, that the pilot can make without injury? (Watch you sigfigs) I understand how to calculate this answer, but I need help determining the correct number of sig figs for the answer.There is a block loaded with two 0.5 kg masses and is pulled at constant velocity across the table but with an applied force that is parallel to the surface of the table. theta = 0 because the force is of the same diraction as the displacement. What are the magnitudes of the following forces: Fg FN Ff
- A circular-motion addict of mass 81.0 kg rides a Ferris wheel around in a vertical circle of radius 12.0 m at a constant speed of 7.10 m/s. (a) What is the period of the motion? What is the magnitude of the normal force on the addict from the seat when both go through (b) the highest point of the circular path and (c) the lowest point? Unit of Part A is s, Part B and C is N.A point mass m slides without friction from O = (0,0) to P = (a, b) on a curve C under the action of constant gravity (see Figure) with vanishing initial velocity. The time it takes for m to reach P is given by P 1 -ds, Jo T = where ds = V(dr)² + (dy)² and v is the speed. The goal is P=(a,b) y to find the curve C that minimises T. (a) Write T as T = Sº F[y(x), y'(x)]dx and determine the function F. (b) Making use of F – y = const (see Problem 1), derive the relation y' y ƏF dy' V# - 1, where d is a constant. (c) Use the parametric representation y(@) = d sin² = $(1 – cos ø) and determine r(6). %3D The extremal curve is a cycloid.