When body is an equilibrium ,the net force is not vanish

Q: 9. Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a…

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Q: Find the work required to compress a spring from its natural length of1 ft to a length of 0.75 ft if…

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Q: Work of 2 Joules is done in stretching a spring from its natural length to 20 cmcm beyond its…

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Q: The 110-lb force P is applied to the 200-lb crate, which is stationary before the force is applied.…

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Q: Find the fluid force on the vertical plate submerged in seawater

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Q: When body is an equilibrium ,the net force is vanish

A: We have to check whether the given statement, "When body is an equilibrium, the net force is vanish"…

Q: Let R(t) = et+e be a particle position moving in the plane Then the acceleration at time zero is

A: We have the position vector given in terms of time t.                  Rt=et i+e-t j To find the…

Q: Determine the flow rate of water across the net if the velocity vector field for the river is given…

A: The given velocity vector field is,V=<x-y, z+y+4, z2>The net is given as:x2+z2≤1 and y=0Assume…

Q: 2. When object P, with mass m, , moves at v, and object Q, with mass m,, moves at v,, the velocity…

A: Given,For P, mass = m1  and velocity = v1Let, velocity after collision is u1For Q,mass = m2 and…

Q: A particle of mass m is moving under the force of attraction of another particle of mass m1 at a…

A: When a force F is applied to an object of mass m, the position of body changes. According to…

Q: A man on the edge of a platform 8 ft above the ground throws a ball vertically upwards with an…

A:

Q: Given a cubic force in one dimension: F = a(x – a) (x – b) (x – c), find the coefficient k in the…

A: Substitute x=b+∈ F=αx-ax-bx-c  =αb+∈-ab+∈-bb+∈-c  =α∈∈+b-a∈+b-c  =α∈∈2b-a+b -c∈b-ab-c…

Q: Find the force on one side of a plate bounded by x = y² and x = 2 - y² which is submerged vertically…

A: Given the plate is bounded by x = y2 and x = 2 - y2 and the plate is vertically submerged such that…

Q: Let R(t) = e'i+ ej be a particle position moving in the plane. Then the acceleration at time zero is

A: Given, The position of moving particle is R(t)=et i+e-t j.

Q: Find the work that is done by the force F = (x + y)î + xyj – z?k acting on a particle that moves…

A: Convert function into parametric function. Then find work done by doing line integration.

Q: Compute the work W against the earth's gravitational field required to move a satellite of mass m =…

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Q: If F= represents the flow of a liquid through a parabolic cylinder S: y=x, 0sxs2, 0szsl. That is…

A: If F→=y2,-x2,z2 represents the flow of a liquid through a parabolic cylinder S:y=x2,0≤x≤2,0≤z≤1.…

Q: Find the time required by the particle in passing between points which are at distances 4 and 2…

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Q: A shell of mass 5 kg is shot upward with an initial velocity of 250 m/sec. The magnitude of the…

A: The equilibrium of a body is considered as the state of the body when there is no force acting on a…

Q: Find the work done by the force field

A: Given: The given function is, With A(1,1) and B(4,4). To find: The work done by the force field F…

Q: Is the bicyclist's acceleration positive, negative or zero? Explain.

A: To determine whether the bicyclist's acceleration of positive, negative, or zero.

Q: The continuity equation for incompressible fluids states that the divergence of the velocity vector…

A: The given statement is The continuity equation for incompressible fluids states that the divergence…

Q: A spring on a horizontal surface can be stretched and held 0.40.4 m from its equilibrium position…

A: Force required to stretch the spring by x meteres from the equilibrium position is given by F = kx…

Q: (True/False) Suppose the work done by a force F on a particle moving along a path C is given by x,…

A: True.

Q: Explain why you integrate in the vertical direction (parallel to the acceleration due to gravity)…

A: To Explain why do we integrate in the vertical direction (parallel to the acceleration due to…

Q: The magnitude of the x-component of a unit vector at the point (1, 1) that is normal to $(r) : equi-…

A: The formula to calculate the vector which is normal to the equipotential  line of the potential…

Q: A rigid body is acted on by two forces, R =ai +bj - 3 at the point (1,2,-1) and F =i+aj+bkat the…

A: Given a rigid body is acted by two forces F1=ai^+bj^-3k^ at the point 1,2,-1 F2=i^+aj^+bk^ at the…

Q: What would be the resultant force F of the triangular distributed load and its location 'd' measured…

A: Given,

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

A: Let the force to hold the spring at a distance x beyond the natural length x is = f(x)=kx For 40 cm,…

Q: When fluid force acts on the side of a submerged object, in which direction does it act?

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Q: A 12.0-kg box (m,) is connected to an empty 2.00-kg bucket (m2) by a cord running over a very light…

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Q: Suppose it takes a force of 21 N to hold a spring that has been stretched from its natural length of…

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Q: F= (e* – y+ xcosh(x))i+ (y³/2 + x)j.

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Q: When body is an equilibrium ,the net force is vanish ulgn O İhi O

A: when body is an equilibrium the net force is vanish

Q: It took 1800 J of work to stretch a spring from its natural length of 2 m to a length of 5 m. Find…

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Q: Find the work required to compress a spring from its natural length of 1 ft to a length of 0.75 ft…

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Q: A body of mass n: moves along Y such that at time t its position is y(t) = at3/2 - bt + c, where a,…

A: a) Given the position of the body at a time t is given by yt=at32-bt+c where a,b,c are constants.…

Q: Write Newton’s Second Law of Motion for three-dimensionalmotion with only the gravitational force…

A: It is known that, by Newton's second Law of motion the value of force is, F=ma. Or equivalently,…

Q: Two blocks, with masses 4.00 kg and 8.00 kg, are connected by a string and slide down a…

A: To calculate the acceleration.

Q: Suppose that an object moves in the positive direction along a coordinate line over the interval [a,…

A: Let the object moves in the positive direction along a coordinate line over the interval [a, b] Let…

Q: A plate shaped like an isosceles triangle with a height of 1 m is placed on a vertical wall 1 m…

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Q: A force of (2i - j+k) Newtons acts on a line through point P having coordinates (0, 3, 1) metres.…

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Q: It takes 1900 J of work to stretch a spring from its natural length of 1 m to a length of 4 m. Find…

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Q: As part of a skydiving course, a diver jumps out of a plane 64 ft above the ground with an initial…

A: To find the velocity of the diver at the moment the diver lands on the ground.

Q: Determine the force being experienced by a 2-microcoulomb charge at (-2,4,6) m due to another point…

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Q: Consider a beam of length 10m and negligible mass, modelled as a rigid body in the x-direction from…

A: Here I am attaching image so that you understand each and every step.

Q: A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1),…

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Q: A spring is stretched 1.5 inches by a 2-pound weight. If the weight is pulled 3 inches below the…

A: This is a problem of differential equation.

Q: Determine where the resultant force acts measured from point O.

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.