For a system of N particles on which an external force is acting, show that the centre-of-mass moves as if the total external force were acting on the entire mass of the system concentrated at the centre of mass.

Q: 1- When we can consider that the body is completely in equilibrium state in terms of the forces and…

A: The body is said to be in equilibrium when,  1. The summation of all force's acting on         body…

Q: The set of concurrent forces F₁ = 50 N, F₂ = 50 N, and F3 60 N are applied at particle A. The angles…

A: Given:To find:Resultant of the forces at A.

Q: The sphere of mass m1 = 5 kg falls from a height H = 1.4 m onto the homogeneous board of negligible…

A: The block will reach a height of 0.575 m after the collision. See attachment for detailed…

Q: Q12.A child of mass 40 kg rides on a Ferris wheel as shown. The child moves in a vertical circle of…

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Q: ich of the following law states "The rate of change of momentum is directly proportional to the…

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Q: 2. Show that the gravitational self-energy (energy of assembly piecewise from infinity) 3GM? of a…

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Q: The position vectors of two particles of mass mi = 3.0 kg and m2 = 2.0 kg are r = 2î + 5ĵ and rz =…

A: Given Data: Mass m1=3 kgMass m2=2 kgPosition vector of mass m1 is  r1⇀=2i^+5j^ Position vector of…

Q: SOLVE STEP BY STEP DONT USE AI

A: Step 1. • Mass of particle = 32.2 lb (which is equivalent to a weight of 32.2 lbf)• Mass of the…

Q: A ball of mass m is suspended from two massless strings of an equal length as shown. The tension…

A: considering free body diagram of the system

Q: ynamics of Rigid Bodies A couple M = 2( θ^3) - ( θ) is applied to a shaft that rotates from 0-90…

A: Given:M=2θ3-θθ1=90=π2θ2=0

Q: Question 2) A 0.2-kg mass moves along the x-axis. The resultant of all the forces acting on the mass…

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Q: Three identical balls whose mass are 1.74 kg are adjacent to each other, as shown in the figure.…

A: Given, Three identical balls. Mass of each ball , M = 1.74 kg.

Q: Q4. The 3-kg ball is connected to a spring with spring constant k = 100 N/m and unstretched length…

A: The work done by the spring on the ball is upto the unstretched length from the initial compressed…

Q: The sphere of mass m1 = 5 kg falls from a height H = 1.4 m onto the homogeneous board of negligible…

A: The objective of the question is to find out how high the body of mass m2 rises after the collision.…

Q: Q2. A particle of mass 2.0kg moves under the influence of the force F(x) = N. If its speed at x=2.0m…

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Q: Express the kinetic energy of each of the systems and determine the number of degrees of freedom of…

A: A rotating object's kinetic energy is similar to linear kinetic energy, and it can be described in…

Q: Activity 3. A body that weighs W Newtons falls from rest from a height of 600mm and strikes a spring…

A: Calculate the initial potential energy of the weight. PEi=W0.6 m+0.15 m     =0.75W Here, The initial…

Q: Find the mass and the angle at which it should be positioned in planes A and D at a radius of 70 mm…

A: rA=rD=70mmrB=80mmrC=55mmmB=5kgmC=2kg Let the reference plane be Plane A. and the angle measure from…

Q: Q4. In the image shown below, according to the provided datum line, determine the gravitational…

A: Given data Mass of block = 6.0 kg Radius = 2.1 m Take g= 9.81 m/s2

Q: Determine the magnitude of the moment about A ( lb in) that produces the 125 lb force necessary to…

A: According to the given dataWe need to findmoment due to force to open the window.

Q: The position of the material point is determined by the equation: The mass of the material point is…

A: Given:Mass, m = 2 kgTo find:Resultant force after 10 seconds

Q: In order to have a complete balance of a several revolving masses in different planes, the…

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Q: Objects 1 and 2 have masses M1 and M2, respectively, where M1<M2. The objects are in outer space far…

A: Given data There are two masses M1 and M2.  The two masses are in outer space and far away from each…

Q: Q4. A 5 lb cylinder is falling from A onto the platform. The length of the unstretched spring is…

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Q: A rigid body is an object: That rigidly stays in one place because it is immovable under the action…

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Q: A 20 kg cylindrical disk with a height of 0.10 meter and a radius of 0.30 meter lies  stationary on…

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Q: 4. To reduce recoil, many modern rifles are equipped with a recoil mechanism. That is, the portion…

A: mass of the bullet, mb = 15 g = 0.015 kgmass of the carriage, mc = 1.5 kgThe bullet's muzzle…

Q: Q4. The 9-kg ball is connected to a spring with spring constant k = 100 N/m and unstretched length…

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Q: The sphere of mass m1 = 5 kg falls from a height H = 1.4 m onto the homogeneous board of negligible…

A: The objective of the question is to find out how high the body of mass m2 rises after the collision.…

Q: 3. Figure 3 shows a system consisting of wedge A and block B connected by an inextensible cable…

A: To find:Determine the acceleration of block B immediately after P is applied.And the tension in the…

Q: 1. Space probes may be separated from their launchers by exploding bolts. (They bolt away from one…

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.