Consider the schematic of the molecule shown, with two hydrogen atoms, H, bonded to an oxygen atom, O. The angle between the two bonds is 106°. If the bond length r = 0.101 nm long, locate the center of mass of the molecule. The mass m of the hydrogen atom is 1.008 u, and the mass mo of the oxygen atom is 15.9999 u. (Use a coordinate system centered in the oxygen atom, with the x-axis to the right and the y-axis upward. Give the coordinates of the center of mass in nm.) XCM = Усм = H 53° nm nm 53° r H

Problem 23:  Three beads are placed on the vertices of an equilateral triangle of side d = 4.1 cm. The first bead of mass m1 = 135 g is placed on the top vertex. The second bead of mass m2= 55 g is placed on the left vertex. The third bead of mass m3 = 85 g is placed on the right vertex.  Part (a)  Write a symbolic equation for the horizontal component of the center of mass relative to the left vertex of the triangle.   Part (c)  Write a symbolic equation for the vertical component of the center of mass relative to the base of the triangle.

A rigid ball of mass m and velocity u undergoes an inelastic collision with another rigid ball of mass m and velocity -u. After the collision, the balls stick together. Find the mass of the composite object after the collision. What must |u| be for the composite object mass to be 3m?

At time t = 0, force F1= (-6.31î + 6.70f) N acts on an initially stationary particle of mass 3.21 x 103 kg and force F2 = (2.69î – 4.74) N acts on an initially stationary particle of mass 3.00 x 103 kg. From time t = 0 to t = 4,46 ms, what are the (a) magnitude and (b) angle (relative to the positive direction of the x axis) of the displacement of the center of mass of the two-particle system? (c) What is the kinetic energy of the center of mass at t= 4.46 ms? (a) Number i Units (b) Number i Units (c) Number i Units