Three particles of masses m1 = 2.5 kg, m2 = 4.1 kg and m3 = 3.1kg are at the corners of an equilateral triangle of side 100 cm. If the particle m1 is located at the origin  Find the center of mass of the whole system. and Write the position of the center in unit-vector notation.

Q: A 1.76 kg particle has the xy coordinates (-1.41 m, 0.619 m), and a 5.63 kg particle has the xy…

A: m1 = 1.76 kg r1 = (-1.41 , 0.619) m m2 = 5.63 kg r2 = (0.206 , -0.607) m m3 =3 kgrc.m= (-0.848 ,…

Q: Find the center of mass of the regular ∟-shaped iron bar with sides 0.40 m and 0.70 m, respectively.…

A: Given that, Length in x axis is 0.40m Length in y axis is 0.70m In this symmetrical region we have…

Q: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The…

A: If we take the second satellite to be initially at rest, then the velocity of first satellite in the…

Q: Determine the coordinates where a fourth particle of mass m4 = 30gr will have to be placed in the…

A: m1 = 40 g Coordinates of m1 = (3,1) cm m2 = 20 g Coordinates of m2 = (−2,1) cm m3= 10 g Coordinates…

Q: Find the center of mass of a regular solid circular cone of height (b) dm

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Q: Find the position of the center of mass of a system formed by four particles of masses m1 = m3…

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Q: You are holding a basketball and standing at rest on top of a skateboard. If you throw the…

A: Initially, as both the person and the basketball were at rest, so the initial momentum of the system…

Q: A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy…

A: Mass of particle 1, m1 = 5 kg Mass of particle 2, m2 = 6 kg Mass of particle 3, m3 = 4 kg…

Q: Pluto's diameter is approximately 2370 km, and the diameter of its satellite Charon is 1250 km.…

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Q: A system composed of the following particles: a 0.500 kgkg particle at the origin; a 1.25 kgkg…

A: Solution: Given that m1 = 0.5 kg (0,0) m2 = 1.25 kg (0.15m,0.2m) m3 = 0.75 kg (0.2m, -0.8m)

Q: Find the position of the center of mass of a system consisting of three particles with the same mass…

A: Q. Given that Equilateral triangle of sides l with three particles of same mass m at its corners

Q: Determine the coordinates in which a particle of mass m4 = 6gr must be placed so that the center of…

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Q: Where is the center of mass of a semicircular wire of radius R that is centered on the origin,…

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Q: Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and…

A: Since the cone is symmetrical about the x and y axis, the coordinates of center of mass along x and…

Q: For the distribution of particles appearing in the plane of the figure, all particles have the same…

A: Solution:

Q: y(cm) 4. m = 40 g т, 3D 20 g, m, =10 g, -2- 1 -2 2 X(cm) -1 -2- -3 3. 3. 5.

A: m1 = 40 gcoordinates of m1 = (3,1) cmm2 = 20 gcoordinates of m2 = (-2,1) cmm3 = 10 gcoordinates of…

Q: Find the center of mass of a rectangle with density mentioned in the photo and sides a and b.

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Q: Suppose a flat piece of plastic of uniform density ρ is in the shape of a right triangle. The legs…

A: The center of mass of the triangle will be at the centroid. The equation for the x-coordinate of the…

Q: A system consists of four particles located as shown. Find the x and y coordinates of the center of…

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Q: At one instant, the center of mass of a system of two particles is located on the x-axis at 5m 2.0 m…

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Q: A bullet of mass m initially traveling at speed v imbeds itself in a wooden block and travelsΔx…

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Q: At time t= 0, force F1 = (-6.31i + 6.70j) N acts on an initially stationary particle of mass 3.21 ×…

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Q: Consider a system of two particles in the xy plane: m1 = 2.00 kgis at the location r→1 = (1.00î +…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A 2.00 kg particle has the ry coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the ry…

A: Answer            (-0.1m , 0.7667m)

Q: Find the coordinates of the center of mass of a right triangle with sides a and b?

A: Given, Length of the sides are a and b.

Q: In sample Prob. 9.03, if a forth particle of mass 1 kg is experiencing a force of magnitude F4 = -2j…

A: Given data: The fourth force is F4=-2 N. Mass of fourth particle is m=1 kg.

Q: Find the mass and the indicated coordinates of the center of mass of the solid region Q of density p…

A: Given data:    ρx,y,z=ky  9x+9y+5z=45,  x=0 y=0  z=0

Q: A particle with mass mA = 3.00 kg is located at  rA = (2.50 i + 3.50 j) m, and a second particle of…

A: Given that:- Mass of A=3 kg  Mass of B=5kg

Q: Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in Figure…

A: (a) At the left end of the beamxcm=mleft0+ML2+mrightL-xmleft+mright+M=8.00 kg0+9.00 kg3.00 m2+7.50…

Q: The following are application of Conservation of linear momentum except A. Ballistic pendulum B.…

A: Given: A. Ballistic pendulum B. Rocket propulsion C. Weight D. Collision   To Find: The correct…

Q: Determine the coordinates in which a particle of mass m4 = 6g must be placed so that the center of…

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Q: A 2.00 kg particle has the xy coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the xy…

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Q: Q. At one instant, the center of mass of a system of two particles is located on the x-axis at Sm -…

A: Recall         Xcm=(m1x1+m2x2)/(m1+m2)............(1)Given Xcm=2.0 m           x1=0           m1=?…

Q: If the center of mass of three objects in the xy-plane is given by the location (3 cm, 4 cm) and two…

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Q: A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has…

A: Given: Total Mrocket+fuel = 86.2× 105 kg Fuel consumption rate= 480 kg/s Speed of exhaust relative…

Q: The three particles in Figure their directions as indicated, and the magnitudes are F1= 6.0 N, F2=14…

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Q: Two masses constrained to move in a horizontal plane collide. Given initially that m, = 7 kg and m2…

A: Given: The first mass is 7 kg. The second mass is 3 kg. The velocity vector for the first mass is…

Q: Which one of the following is the y-coordinate of the centre of mass from three homogeneous solid…

A: The x-coordinate of the centre of mass of a system of mass is given by XCM=∑i=1i=nmixi∑i=1i=nmi The…

Q: 2. Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in…

A: (given) m1=8 kgm2=7.50 kgM = 9 kgL = 3 mLocation of centre of mass is given byxcm =…

Q: In the figure below, m1 3kg, m2= 4kg, and m3 = 8kg, and the scales on the axes are set by xs = 2m…

A: In given figure m1=3 kg at x1=0 and y1=0m2=4 kg at x1=2 m and y1=1 mm3=8 kg at x1=1 m and y1=2 m x…

Q: For the distribution of particles that appear in the plane of the figure, all the particles have the…

A: Given that:- Mass of all four particles are same as m.

Q: "A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position…

A: Given: A three-particle system has the masses (m1, m2, and m3) 5 Kg, 3 Kg, and 5 Kg respectively.…

Q: In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from height h and then…

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Q: A small block of mass m, - 0.755 kg is released from rest at the top of a curved wedge of mass m, =…

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