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Force =m ...

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In this question, position vector of a helicopter, which is a function of time, is provided. Using its given mass, I have shown how to obtain the x, y and z components of the force acting on the helicopter.

The helicopter can produce a maximum downward air speed ( v = 24 m/s ) in a slipstream of a diameter ( D = 9 m). Knowing that the weight of the helicopter and the crew is ( 15 kN ) and assuming air density rho = 1.21 kg/m^3 ), determine the maximum load that helicopter can lift while hovering in midair. ( 29.3 kN )
Thank you

When a helicopter is hovering 1450 m directly overhead, an observer on the ground
measures a sound intensity I. Assume that sound is radiated uniformly from the helicopter and that ground reflections are negligible. How far must the helicopter fly in a straight line parallel to the ground before the observer measures a sound in

1. The vector expression of an acceleration can be obtained by:
a. Differentiation positionvector once
b. Differentiation velocity vector once
c. Differentiation positionvector three times
d. Differentiation velocity vector twice
2. The work of forces acting on a rigid body can be expressed as:
a. the dot product

I cannot find any help in the textbook for this problem. As I'm taking an online course, finding alternative forms of help proves difficult. Here's the problem:
Bar T Ranches, Inc. is considering buying a new helicopter for $350,000. The company's old helicopter has a book value of $85,000, but will only bring $60,000 if it

Hi, I am having a lot of difficulty understanding vectors, can you please assist me with these questions.
Given: positionvector A = i hat.
positionvector B = i hat + j hat + k hat.
1) Find A hat and B hat (unit vector in that direction).
2) Find positionvector C in that plane perpendicular to position ve

1. Answer the following:
a. What are the units of mass and the units of weight for the metric system?
b. What are the units of mass and the units of weight for the English system?
2. Explain the relationship between the mass and the weight of an object. Is the mass of an object the same on earth and the moon? Are the wei

Given that the acceleration vector is a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k , the initial velocity is v(0) = i + k , and the initial positionvector is r(0) = i+j+k , compute:
A. The velocity vector
B. The positionvector

One force is pushing an object in a direction 50 degree south of east with a force of 25 Newton. A second force is simultaneously pushing the object in a direction 70 degree north of west with a force of 60 Newton. If the object is to remain stationary, give the direction and magnitude of the third force which must be applied to

The medial triangle of a triangle ABC is the triangle whose vertices are located at the midpoints of the sides AB, AC, and BC of triangle ABC. From an arbitrary point O that is not a vertex of triangle ABC, you may take it as a given fact that the location of the centroid of triangle ABC is the vector (vector OA + vector OB + ve