nsider an object made from two individual rectangles shown in figure. Each rectangle has a uniform mass distribution of 1 kg per unit area. The masses of left and right tangles are m 2.51 x 7.13 kg and m, = 6.57 x 3.48 kg respectively. Find the X-component [in cm] of overall centre of mass of this configuration. (Round you answer two decimal places) 3] Y y a X
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![Consider an object made from two individual rectangles shown in figure. Each rectangle has a uniform mass distribution of 1 kg per unit area. The masses of left and right
rectangles are m=2.51 x 7.13 kg and m, = 6.57 x 3.48 kg respectively. Find the X-component [in cm] of overall centre of mass of this configuration. (Round you answer
to two decimal places)
[3]
Y
y
a
b
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dbc3aa5-419e-4bec-8560-1745f6bdbc2b%2F25279962-b4ef-4d6a-b55c-1817317decb1%2F56o815_processed.jpeg&w=3840&q=75)

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- An asteroid of mass m = 8.5 × 1012 kg has two rocket thrusters attached to it. One thruster supplies a force with x- and y- componentsF 1 = (8.0 × 107, 7.0 × 107) N while the other supplies a force with x- and y-components F 2 = (4.0 × 107, −2.0 × 107) N. (You may ignore the mass of the rocket thrusters and their fuel.) Draw a sketch showing the two forces acting on the asteroid. Your sketch should be drawn (approximately) to scale. Use your sketch to estimate (without calculation) the resultant force on the asteroid. Include the resultant force on your sketch.Example B: Three people stand around not doing their physics homework as shown below. Find the distance of the center of mass of the 3 person system from leftmost person. M₁= 70 kg 4 m M₂=60 kg 6 m M₂= 82 kgWill give thumbs-up! Solve in 3 decimal places.
- An asteroid has a mass of m = 8.5 × 1012 kg and also has two rocket thrusters attached to it. One thruster supplies a force with x- and y- componentsF 1 = (8.0 × 107, 7.0 × 107) N while the other supplies a force with x- and y-components F 2 = (4.0 × 107, −2.0 × 107) N. (You may ignore the mass of the rocket thrusters and their fuel.) - Draw a sketch of the two forces acting on the asteroid (to scale if possible) - Use the sketch to calculate (without calculation) the resultant force on the asteroid. Include the resultant force in your sketch.EarlyFind the position of the center of mass of a thin rod that extends from 0 to 0.890 m along the x axis of a Cartesian coordinate system and has a linear density given by µ(x) = 0.3 kg/m? x2
- 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 = 10mTom and his little sister are enjoying an afternoon at the ice rink. They playfully place their hands together and push against each other. Tom's mass is 54 kg and his little sister's mass is 15 kg. (a) Which of the following statements is correct? O They both experience the same force. O The force experienced by the sister is less than the force experienced by Tom. O The force experienced by Tom is less than the force experienced by his sister. (b) Which of the following statements is correct? O They both have the same acceleration. O Tom's acceleration is less than the sister's acceleration. O Tom's acceleration is more than the sister's acceleration. (c) If the sister's acceleration is 2.4 m/s² in magnitude, what is the magnitude (in m/s2) of Tom's acceleration? (Enter a number.) m/s²5. A little red wagon with mass 4 [kg) moves in a straight line on a frictionless horizontal surface. It has an initial speed of 4.00 [m/s). It collides and sticks with a blue block of mass 2 [kg] a. What is the final velocity of the red wagon and the blue block? b. If, right after the collision, the wagon and cart are on a surface with coefficient of friction 0.2. How far would it go before it stops?
- Four beads, each of mass m = 1 kg, are attached at various 1 kg, and radius R= 1 m (see figure). Find the coordinates of the center of locations to a ring, also of mass m M mass of the system consisting of the ring and the beads. Angle A, located between the first bead and the horizontal, is equal to 47°. Angle B, located between the horizontal and т, the second bead, is equal to 50°. Angle C, located between the third bead and the horizontal, is equal to 68°. Angle D, D located between the horizontal and the fourth bead, is equal х to 31°. Хст т, Ycm = т,The three masses shown in (Figure 1) are connected by massless, rigid rods. Assume that m₁ = 180 g and m2 = 300 g. Figure A y 200 g 12 cm B m₂ 10 cm C m₁ -X 1 of 1 Part A What is the x-coordinate of the center of mass? Express your answer with the appropriate units. ► View Available Hint(s) x = Submit Part B Value y = μA What is the y-coordinate of the center of mass? Express your answer with the appropriate units. ► View Available Hint(s) Submit Value Provide Feedback μA Units ? Units ?The two masses shown in the figure are in equilibrium and the inclined plane is frictionless. m₂ m₁ 0 i If 0 = 32.0° and m₂ = 3.61 kg, determine the mass of m₁. 18.75 X kg Question 4.2c: The three masses shown in the figure are in equilibrium and the inclined plane is frictionless. If 0 = 38.4°, m₂ = 2.00 kg, and m3 = 4.86 kg, determine the mass m₁ and the magnitude of the tension 7 in the string connecting m₂ and m3. m₂ m₂ m₂ i mass m₁ = 5.02 e X kg