Four beads, each of mass ?=1 kg, are attached at various locations to a ring, also of mass ?=1 kg, and radius ?=1 m(see figure). Find the coordinates of the center of mass of the system consisting of the ring and the beads. Angle A, located between the first bead and the horizontal, is equal to 41°. Angle B, located between the horizontal and the second bead, is equal to 50°. Angle C, located between the third bead and the horizontal, is equal to 72°. Angle D, located between the horizontal and the fourth bead, is equal to 31°

A 1200 kg car driving due north at 15 m/s collides with a 2300 kg truck traveling east at aspeed of 10 m/s. After the collision, they lock bumpers traveling together. What is the final velocityvector of the combined car/truck after the collision? Give in unit vector notation and compute amagnitude and direction.

Find the center of mass of the point masses along the x-axis. Draw your illustration. m1= 15 kg, m2= 20 kg, m3= 50 kg x1 = 6m,  x2 = 8m, x3 = 10m

F A B D three blocks are in contact with each other and their masses are: m (A) = 44.4 kg, m (B) = 34.4 kg, m (C) = 24.4 kg, and m (D) = 14.4 kg. Block A is being pushed by a horizontal F = 500 N as shown. All the four boxes are moving together. The coefficient of kinetic friction between block and floor is 0.050. What is the magnitude of the force that block C exerts on block D? (q1245) a) 061.2 N b) 0500.0 N c) 054.2 N d) 0442.4 N

A set of three masses is arranged as shown below. Calculate the position of the center of mass of the system, i.e., find the coordinates (xcm, Ycm) in units of meters. У (m) 2.00 2.00 kg 5.00 kg 1.00 10.00 kg + x (m) 1.00 2.00

A uniform square plate 6. m on a side has had a square piece 2. m on a side cut out of it (see the figure). The center of that piece is at x=2 m, y = 0. The center of the square plate is at x = y = 0. Find the coordinates of the center of mass of the remaining piece. x-component ( m)? y-component ( m)?

A man with mass m1 = 51 kg stands at the left end of a uniform boat with mass m2 = 168 kg and a length L = 3.3 m. Let the origin of our coordinate system be the man’s original location as shown in the drawing. Assume there is no friction or drag between the boat and water. 1) If the man now walks to the right edge of the boat, what is the location of the center of mass of the system?     2) After walking to the right edge of the boat, how far has the man moved from his original location? (What is his new location?)   3) After the man walks to the right edge of the boat, what is the new location the center of the boat?   4) Now the man walks to the very center of the boat. At what location does the man end up?

are initially at rest. Each experiences an external force, with The three particles in Figure their directions as indicated, and the magnitudes are F1 = 6.0 N, F2=14 N and F3 = 6.0 N. In what direction 0 does the center of mass move? The angle 0 is measured counterclockwise from the +x axis. 3 4.0 kg 2 -3 -2 -1 1 2 3 4 5 -1 4.0 kg -2 4.0 kg F2 -3 A) 37° B) 21º C) 330° D) 110° E) 290°

Four very thin rods, each 6.3 m long, are joined to form a square, as part (a) of the drawing shows. The center of mass of the square is located at the coordinate origin. The rod on the right is then removed, as shown in part (b) of the drawing. What are the x- and y- coordinates of the center of mass of the remaining three-rod system? ty +x +x (a) -0.75 x coordinate of the center of mass = Number Units m y coordinate of the center of mass = Number Units m

Three point masses are placed at the corners of a triangle as shown in the figure below. 90 g 2 cm 3 cm 130 g 200 g Find the center of mass of the three-mass system (in cm). (Assume that the +x-axis is to the right and the +y-axis is up along the page. Take the origin to be at the position of the 200 g mass.) XCM = cm Усм cm