Determine the coordinates in which a particle of mass m4 = 6gr must be placed so that the center of mass of the system in the figure is at the origin of coordinates

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: manned satellites approaching one another at a relative speed of 0.100 m/s intend to dock. The first…

A: Given:- Relative speed Vr = 0.100 m/sMass m1 = 2.00 x 103 kgMass m2 = 7.50 x 103 kg. Find:- what is…

Q: Two manned satellites approaching one another at a relative speed of 0.350 m/s intend to dock. The…

A:

Q: Find the center of mass of a semicircular plate of radius  r .

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Q: The center of mass of a system of particles has a constant velocity if: O the velocity of the center…

A: F=ma

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: Find the center of mass of a quarter of a spherical shell of radius (a)

A: The center of the mass of the hemispherical shell :   distance from center of the shell ,  rcm=a2…

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: Find the center of mass of the given system of point masses. (X, 7) = (| m, 1. (x, Y) | (2, 2) |…

A: Given data: The mass 1 is, m1=5 kg. The mass 2 is, m2=1 kg. The mass 3 is, m3=3 kg. Coordinates are,…

Q: The center of mass of a system of particles has a constant velocity if?

A: The velocity and acceleration of a center of mass can be expressed as.

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: Find the center of mass of a rectangular block of length a and width b that has a nonuniform density…

A: The center of mass for the rectangular block along x and y axis can be given by, Here, dm is the…

Q: Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g…

A: Given data: First particle: m1=40 gx1,y1=3,4 Second particle: m2=50 gx2,y2=-2,-6 Third particle:…

Q: Consider a system consisting of two point particles A and B separated by 25 cm. The distance between…

A: By balancing of masses, mAxA=mBd-xA

Q: A 2.30-kg particle has a velocity (2.20 î − 4.50 ĵ) m/s, and a 3.50-kg particle has a velocity (1.00…

A: Given,

Q: A particle of mass m, collides with another stationary particle of mass M. If the particle m stops…

A:

Q: Two manned satellites approaching one another at a relative speed of 0.400 m/s intend to dock. The…

A:

Q: Two blocks of mass 3kg and 2kg are moving toward eachother along a horizontal frictionless surface…

A:

Q: Find the center of mass of the system of masses. m1 = 2, m2 = 5, m3 = 5, m4 = 3 located,…

A: The total mass M is 15

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: Find the center of mass for the specified area between the parabola y = X/ b and the line y=b

A:

Q: A mass m₁ of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with a…

A:

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: Momentum will be conserved in a two-body collision only if the net external force acting on the…

A: Momentum is defined as the quantity of motion of a moving body, measured as a product of its mass…

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…

A:

Q: Find the center of mass of the given system of point masses lying on the x-axis. m, = 0.2, m, = 0.2,…

A: Given that---- m1 = 0.2 , m2 = 0.2 , m3 = 0.3 , m3 = 0.2 x1 = 1 , x2 = 2 , x3 = 3 , x4 = 4 Question…

Q: Four squares, with equal side length of 1m, are arranged based on a rectangular coordinate. The…

A: A,B,C,D is 1kg,2kg,3kg,4kg

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

A:

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: Find the x center of mass of the following masses at their respective coordinates: m1=2.5,…

A: We have to find centre of mass coordinate along X-axis.

Q: Find the moments Mx and My and the center of mass of the system of masses. m1 = 6, m2 = 7, m3 = 1…

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Q: Three metallic balls, each of mass 2 kg, are placed at the vertices of an equilateral triangle of…

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Q: Find the x-coordinate of the center of mass of the right triangle-shaped plate whose perpendicular…

A: Answer  option(a) 2a/3

Q: There are two objects of masses 1 kg and 2 kg located at (1, 2) and (-1, 3) respectively. The x and…

A: Given Data:                                                m1 = 1 kg…

Q: 3 m 1.5 m 2 m 1 m 0.5 m Origin 1 m

A:

Q: Three point masses are placed at the corners of a triangle as shown in the figure below. Find the…

A: Given Coordinates of 90g mass (0,0) Coordinates of 165g mass (4,0) Coordinates of 50g mass (4,3)

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: Find the center of mass of the given system of point masses.

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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: 4.2 Three point masses lie at the corners of an equilateral triangle whose sides have length 1.00 m.…

A: Given,  masses m1, m2 and m3 at the corners of an equilateral triangle  Sides of equilateral…

Q: A rod 2 meters long has a linear density of p(x) = 8 - 3x. How far, in meters, is the center of mass…

A: Given data ρx=8-3x

Q: Three point masses are placed at the corners of a triangle as shown in the figure below. 60 g 2 cm 3…

A:

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).