Three solid, uniform boxes are aligned as in the figure below. Find the x- and y-coordinates (in m) of the center of mass of the three boxes, measured from the bottom left corner of box A. (Consider the three-box system.) HINT Xcm = Ycm = Need Help? Origin 0.750 kg m m 0.300 m Read It A Watch It 0.350 m B 1.00 kg 0.150 m с 0.650 kg 0.418 m x
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- A 48.3 kg student runs down the sidewalk andjumps with a horizontal speed of 4.34 m/sonto a stationary skateboard. The studentand skateboard move down the sidewalk witha speed of 4.07 m/s. a) Find the mass of the skateboard.Answer in units of kg. I got 3.204177 kg b) How fast would the student have to jumpto have a final speed of 5.27 m/s?Answer in units of m/s. I'm getting 5.6196 m/s, but my online homework is prompting me with an incorrect guess. My work is shown in the picture.In the figure, m1 =1 kg, m2 = 0.5 kg, and m3 = 1.5 kg. y (m)A 2 1 x (m) 3 a. What is the x-component of the center of mass? b. What is the y-component of the center of mass? o search8. A uniform circular plate of radius 2R has a hole of radius R centered at a distance .7R from the plate's center as shown below. Find the center of mass of the plate. ZR 7R
- 2 A peron of mass w stands e the outer edge of a freely notating borisoal disk. The disk in hollow at the center, in which dhe inner and outer adius of the disk is R/2 and R, respectively, and the mass of the disk in M. The disk and the person are initialy ing wih angalar velocity Assumed that the size of the person is negligible comparnd with the disk aWhat is the total notational inertia of the disk and the penon in tems of m, M, and R(when she is standing at the outer edge)? (4 poinns) Refer o Table I sbout the outional inertia of s wolid disk). b. If the person walka from the outer edge m the inner edge, what is the new angular velociry of the penon in R/2 terms of a, M, R and a 3 point) c What is the change in kinetic energy of the penon+ disk? If it increases, explain why (even there isa't any Figure1 external work done on the systom). 3 poinn)H.W // Find the Earth's center of mass through the model shown below m h dm R drFour unform identical rectangles with dimensions 3.0cmx 5.0cm are bound together as shown in figure. Determine the coordinate of the center of mass. 4Y A. (4.0 cm, 5.25 cm) 1.5 cm B. (2.0 cm, 5.25 cm) 6.0 cm C. (4.0 cm, 5.0 cm) D. (2.0 cm, 5.0 cm) 5.0 cm E. (4.0 cm, 8.0 cm) 2.0 cm
- H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: 2+ y2Which one of the following is the y- coordinate of the centre of mass from three homogeneous solid spheres of masses 1 kg, 2 kg and 4 kg that are arranged with their centres at (2i + j + k) meters, (3i – 2 j+ 2k) meters and (4i - j - 2k) meters respectively where i, j, and k are unit vectors in the x, y and z directions. O A. 0.33 m В. — 1 m O C. 2.6 m O D. 3.3 m E. -2 m1. Complete the following if g = 9.81 and V = 10 m3 (Show your Solution) (kg' m(kg) W (N) kg \m m³ A 20 C 4. 100 E 100
- been assuming is true all along. Questions 1. Mass 1 (2.0 kg) is placed on the origin of the x – axis. Mass 2 (3.0 kg) is at x = 2.0 m and mass 3 (1.5 kg) is at x = 5.0 m. Where is the center of mass of the system? 2. Three uniform cubes of different sizes are made of the same material. The cubes are stacked in a pile with a vertical line running through the center of each cube. Cube 1 has sides of length L, Cube 2 has sides of length 2L and cube 3 has sides of length 3L. Cube 1 is on top and 3 is on the bottom. Where is the CM of the cubes?Every problem has a solution, Solve it! Instruction: Carefully read the word problem then identify the given, what is asked in the problem and provide solution. Write your answer with solution on a separate sheet of paper. 1. Four objects are situated along y-axis as follows; a 2.00-kg object is at + 3.00 meters, 5.00-kg object at 1.5 meters, a 4.5 – kg object at 3.0 meters and a 2.5 -kg object at 0.50 meters. Locate the center of mass of the system. 2. A billiard ball with a mass (m1) = 0.75-kg moves at a velocity vị of -2.0 m/s collides head-on with another billiard ball with a mass (m2) of =0.65 kg that is initially at rest (v2=0m/s) on the billiard table. No external forces act on the balls and collision is elastic. After collision, mi moves at the velocity of m2 velocity is equal to while the Note: To solve for vfi and vp we have these equations: where, Vf1 = mj-m2 : uy = final velocity/ velocity after collision Vi1 m2 2m, mị + m2 Vi = initial velocity/velocity before collision…Find out the x and y coordinates ( respectively) of the centre of mass of the shape from point A of the figure shown below. The mass of the horizontal piece is double the mass of the vertical piece. 10 cm 2 1 10 cm A 80 cm О а. (40.0,20.0) O b. (42.5, 15.0) O c. None of the choices O d. (28.3, 10.0) Ое. (5.0,5.0) 40 cm