Reference no: EM132527131

1) Two uniform spheres each of mass 0.260 kg, are fixed at points A and B. A third uniform sphere with mass 0.010 kg is released from rest at point P. The sphere is only acted upon by forces of the gravitational attraction of the spheres at A and B.

a) Find the magnitude and direction of the initial acceleration of the sphere at point P.

b) What is the velocity of the third sphere as it passes between the first two spheres?

2) A 0.150 [kg] toy is undergoing SHM on the end of a horizontal spring with force constant k = 300 Nm^-1 When the object is 0.0120 [m] from its equilibrium position, it is observed to have a speed of 0.300 m/s. Find:

a. The total energy of the object at any point of its motion;

b. The amplitude of the motion.

c. The maximum speed attained by the object during its motion?

3)A pendulum is made by gluing a 1.00 [kg] rod (I cm = 1/12ML^2) of length L = 1.00 [m] to a 2.00 [kg] solid sphere (I cm = 2/5MR^2) of radius R = 0.50 [m]. It is pivoted at point A and released at a small angle from the vertical. What is the period of the pendulum?