The curve is linear between the origin

Q: If r = (x, y, z), prove that v ( ² ) = - = /1 r

A: To prove: The ∇1r=-r→r3. Given: The given vector is r→=xi^+yj^+zk^.

Q: Q5/ Let f(x) = 3√3x. Consider the portion of the curve where 0 ≤ y ≤ 2. Find the surface area of the…

A:

Q: a. What is the cross product of vector A and B (Ax B) if A--371 +48j+16 k, and B-451+56j+-76k

A: Step 1: Step 2: Step 3: Step 4:

Q: For the Scalar projection of F along r = F * Ur How did you get the -41.924 + 24.0327

A: We have following data:Force vector is, Unit vector in the direction of vector r is,

Q: y Determine ly. (y=2-x²) -y=2-x² x

A: Given data:- Curved profile Y=2-X2 at x=0 and x=1 To find :- Moment of inertia about y-axis

Q: For the stress states above determine the required yield strength of the material based on the…

A:

Q: How do you find the external forces' resultant and the application point?

A: for location of result force (Fnet.) use VARIGNON'S theorem.for solution refer below images.

Q: Find the vector (r) if R = -3F j and M = -(sqrt(3)/2)bF i. Select one: y b ar = 2h/sart(3) k F 8 b 8…

A: The net resultant force is The moment is

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.