2. A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portion HBGO is cut-off, the coordinates of the centre of mass of the remaining portion will be (a) (c) (0, b) A 2 E חח > D (0, 0) H 2a 2b (b) 3 3 (3ª 3a 3b) thus thomebible (d) 4 4 F a b 22 5a 5b > 12 12 5a 5b 2 3 3 (a, b) B G C (a,0)
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- A SHEET IS BOUN DED BY CURVES Y= 2X, 3 Y= 2x (IN THE FIRST QUA DRAT). IF IT HAS AN OF グニ K(x*+\) AREA DENSITY * QUESTION; THE POSITION OF THE "Y" COORDINATE OF THE CENTER OF MASSThe figure shows a composite slab with dimensions d₁ = 11.9 cm, d₂ = 2.94 cm, and d3 = 12.8 cm. Half the slab consists of aluminum (density = 2.70 g/cm³) and half consists of iron (density = 7.85 g/cm³). What are (a) the x coordinate, (b) the y coordinate, and (c) the z coordinate of the slab's center of mass? (a) Number (b) Number (c) Number i di Iron Units Units Units 2d₁- -Midpoint Aluminum <9-4. Find the center of mass of a uniform wire that subtends an arc 8 if the radius of the circular arc is a, as shown in Figure 9-A. 2. FIGURE 9-A Problem 94.
- Check Your Understanding Suppose you have a macroscopic salt crystal (that is, a crystal that is large enough to be visible with your unaided eye). It is made up of a huge number of unit cells. Is the center of mass of this crystal necessarily at the geometric center of the crystal?Two pebbles A and B having a mass of 1kg and 2kg respectively, collide with velocities shown. The coefficient of restitution is given to be 0.75. Compute the magnitude and direction of the velocities of both pebbles after collision.A thin rod of length 2.6 meters has a non-uniform density given by ρρ = b(x2 + ax) where b = 1.18 kg/m3, a = 0.32 m, and x measures from one of the rod to the other. Find the rod's center of mass.
- Pls asapA rod of length 24.00 cm has linear density (mass per length) given by 2 = 50.0 + 19.5x where x is the distance from one end, and A is measured in grams/meter. (a) What is its mass? (b) How far from the x = 0 end is its center of mass?A 2.09-kg particle has a velocity (1.90 î – 2.90 j) m/s, and a 2.95-kg particle has a velocity (0.92 î + 6.01 j) m/s. (a) Find the velocity of the center of mass. |î + i) m/s (b) Find the total momentum of the system. i) kg · m/s
- The center of mass of a solid bounded by the planes z = 1 – y , z = 0 and y = Vx where density 8(x,y, z) = y_ is :=1-y8.2 GIVEN: FIND: 2 ft 5ft H₂=0.4 2 ft 1.0 ft C 8 14 tv US F-04N a. Draw a FBD of the figure above. b. Determine the largest angle 8 for which the homogeneous block remains at restA rod of length 23.00 cm has linear density (mass per length) given by 1 = 50.0 + 17.5x where x is the distance from one end, and 2 is measured in grams/meter. (a) What is its mass? (b) How far from the x = 0 end is its center of mass? m