A child of mass M is in a swing at the park. The chains have length L. The child is pulled back by their parent to an angle of 60 degrees and released. What is their angular speed when it reaches a maximum? Answer: w = square root mgL/I

Two masses, m₁ = 31.0 kg and mp = 42.0 kg are connected by a rope that hangs over a pulley (as in the figure(Figure 1)). The pulley is a uniform cylinder of radius R = 0.316 m and mass 3.3 kg. Initially, mis on the ground and mp rests 2.5 m above the ground. igure MA MB 4 2.5 m 1 of 1 Part A If the system is now released, use conservation of energy to determine the speed of mp just before it strikes the ground. Assume the pulley is frictionless. Express your answer using three significant figures and include the appropriate units. V = Di Value Submit μA Drovide Foodhark Request Answer P Pearson Units Review | Constants ?

%3D A 3.7-kg sphere is suspended by a cord that passes over a 1.7-kg pulley of radius 3.4 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. www- (a) If the sphere is released from rest with the spring unstfetched, what distance does the sphere fall through before stopping? 0.3079 Your response differs from the correct answer by more than 10%. Double check your calculations. m (b) Find the speed of the sphere after it has fallen 25 cm. 1.67 m/s

A hollow cylinder with mass M = 3 kg and radius R = 0.6 m rolls down a 4 m high hill. What would be the speed ofthe cylinder when it reaches the bottom of the hill?

The right-angle bar rotates clockwise with an angular velocity which is decreasing at the rate of 4 rad/s² . Calculate the velocity and acceleration of point A when w = 2 rad/s. 0.3 m y 0.4 m

The figure shows a ball with mass m = 2.0 kg attached to the end of a thin rod with length L = 0.79 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. (a) What initial speed must be given the ball so that it reaches the vertically upward position with zero speed? What then is its speed at (b) the lowest point and (c) the point on the right at which the ball is level with the initial point? (d) If the ball's mass were doubled, what would the answer to (a) be?

Shaina is 1.7m tall and performs a bicep curl starting at maximum extension and going to full flexion. In this movement, she goes through an angle of 175 degrees. What is the angular displacement of her wrist in m? Round your answer to two decimal points.

The ends of a 9-lb rod AB are constrained to move along slots cut in a vertical plate as shown. A spring of constant k= 3 lb/in. is attached to end A in such a way that its tension is zero when 0 = 0. If the rod is released from rest when 0 = 50°, determine the angular velocity of the rod and the velocity of end B when 0=0.

Suppose you had a machine for 100% efficiently transferring kinetic energy of a rotating bicycle pedal to electrical energy. If the mass of a pedal is 200 g, (a) how fast must the pedal be moving to power a 17.00 W LED light? (b) what is the angular speed, in rpm, if the distance from the centre of the crank to the pedal is 16 cm?

The force system consists of the force P = − 300i + 200j + 150k lb and the couple C. Determine the magnitude of C if the moment of this force system about the axis DE is 800 lb · ft   "Full procedure (step by step), please."