For Earth/Moon pair, find the system center of mass and the point where gravity fields cancel completely.

Consider the earth, mass M= 5.98 E 24 kg, and the moon, mass m= 7.35 E 22 kg, as a system with distance d= 3.84 E 8 m between their centers. Find the distance between the c.m. (center of mass) of the system, and the point where the gravity field of the earth cancels that of the moon to produce zero field. SEE ATTACHMENT #1 for ...continues

Given the x,y coordinates of three given point masses, find the center of mass, c.m., of the system.

Three point masses are located in an x,y plane as follows: M1= 7 kg, at (x1, y1)= (5, 6); M2= 8 kg, at (x2, y2)= (-4, 6); and M3= 9 kg, at (x3, y3)= (3, -2). Find the coordinates (xcm, ycm) of the c.m. of the system.

By integration, find the x coordinate of the center of mass, c.m., of a piece of sheet metal with a curved edge.

A thin, uniform piece of sheet metal in an x,y plane has one side along the x axis from (0, 0) to (3, 0), and a vertical side from (3,0) to (3, 5.4). The remaining side is curved between (0,0) and (3, 5.4) on the line y= .6 x^2. Find xcm, the x coordinate of the c.m. SEE ATTACHMENT #1 for a diagram of the object and parameter ...continues

pulley problem

A thick rope with a length of 5m is draped over a pulley, such that the right side y=3m is dangling free and on the left side L-y=2m is dangling free. The rope has a mass of 10kg. Since the longer side is more massive than the shorter side, the rope begins falling downward, with the shorter end going up towards the pulley. As ...continues

A bullet hits a stationary block after which the block slides to a stop. Find the velocity of the bullet before the impact.

A bullet whose mass M1= .04 kg traveling horizontallyhits a stationary block of mass M2= 2.4 kg on a horizontal surface. After the impact, the block, with embedded bullet, slides distance x= 5 meters to a stop. The coefficient of friction is f= .50 between block and surface. Find the velocity V1 of the bullet before impact.

Angular acceleration of a cylinder

A massless string is wrapped around a uniform solid cylinder with mass M = 10 kg and radius R = 0.40 m. One end of the string is attached to the cylinder and the free end is pulled tangentially by a force that maintains a constant tension T = 5 N . Find (a) the angular acceleration (b) the angular speed of the cylinder 5 ...continues

Application of Newtons Laws

a.) A wedge with mass M rests on a frictionless horizontal tabletop. A block with mass m is placed on the wedge. There is no friction between the block and the wedge. The system is released from rest. Calculate: i) the acceleration of the wedge ii) the horizontal and vertical components of the acceleration of the block. (Do thes ...continues

Force word problem

The largest caliber aircraft gun operated by German Air Force in WW2 was the 12.8cm flak 40. The weapon fired a 25.8kg shell with a muzzle speed of 880m/s. What propulsive force was necessary to attain the muzzle speed within the 6.00m barrel.(assume the shell moves horizontally w/consistant acceleration and neglect friction) ...continues

Force word problem

The gravitational force on a baseball is -Fgj(with a ^ over the j) A pitcher throws the baseball with velocity vi (with a ^ over the i) by uniformly accerating it straight forward horizontally for a time interval change of t = t-0 =t. If the ball starts from rest, through what distance does it accelerate before its release and ...continues

Circular Motion and Gravitation

A bead can slide without friction on a circular hoop with a radius of .100 m in a vertical plane. The hoop rotates at a constant rate of 3.00 rev/s about a vertical diameter. a) find the angle θ at which the bead is a vertical equilibrium. b) is it possible for the bead to "ride" at the same elevation as the center o ...continues