We need to calculate the buoyance force on a partially immersed sphere. (a) Derive an expression for the buoyance force acting on a sphere as a function of the depth of immersion. (b) Plot this relation in non-dimensional form where the abscissa is the non- dimensional value of immersion depth (ratio of depth of immersion to the sphere diameter) and the ordinate is the non-dimensional buoyancy force (ratio of actual buoyancy force to the maximum buoyancy force). (c) In the plot in (b) above, what are the maximum and minimum values of the slopes? (d) In the plot in (b) above, identify the abscissa values that correspond to the minimum and maximum values of the slopes in the plot.

Q: Two vectors are given by A = 3 î + 4 j andB = -1 î + 2 j. (a) Find A x B. (b) Find the angle between…

A:

Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

Q: Compute for the unit vector of the V V =

A:

Q: a) Find the unit vector în perpendicular to the plane shown below (a). b) Find the angle between the…

A: a) To find the unit vector perpendicular to the plane, we need to follow these steps. Find two non…

Q: There are two not orthogonal forces (F and F), if the resultant of these forces is also equal to…

A: Resultant of two force F1 and F2 is given by,  F=F12+F22+2F1F2cosθ Given both the forces are equal…

Q: What angle OB, where 0° < OB < 360°, does B make with the +x-axis? Express your answer in degrees.

A:

Q: Calculate the magnitude of the sum of the three vectors: A = 105 N at 35 degree, B = 164 N at 125…

A: A = 105 N at 35 degree B = 164 N at 125 degree And C = 183 N at 208 degree   Magnitude of resultant…

Q: (a) (c) (b) (d)

A:

Q: Calculate the magnitude and direction angle (in degrees) for the vector v: &lt;-7,3&gt;.

A: The objective of the question is to find the magnitude and direction angle of the vector v: .

Q: (d) Find x₁ (t) and x₂(t) with the initial conditions of x₁ (0) = 0.2, x₁ (0) = x₂ (0) = x₂ (0) = 0.

A: Given that the x1 and x2 be the displacement of the masses m1 and m2 respectively. The kinetic…

Q: Vector u = &lt;-7,3,-5&gt; and vector v = &lt;-1,1,0&gt;. Find the cross product of u X v.

A:

Q: Two vectors are given by A = 3 î + 6j and B = -1 î + j. (a) Find A x (b) Find the angle between A…

A: Given that  A = 3i^ +6j^ B = -1i^ +j^A→ x B→ = i^j^k^360-110      = (6 x 0) -(0 x 1) i^  -(3 x 0)…

Q: Consider two vectors Å = -5î – 3j + 2k and B = -8j - 2k, find the angle between vectors Å and B.

A:

Q: Given the vectors A = -5i - 3j - 8k ; B = 4i - 2j + 3k ; C = 10i -12j - 8k a. Find A x B b.…

A:

Q: Find the Vector projection of A= and B=

A: Given, Vectors, A = 2, 1, 5, B= 5, -2, 7 The vector projection of vector A→ on vector B→ is…

Q: Let vector a = and vector b = . The the cross product of vector a and b.

A:

Q: Two vectors d and 6 have magnitudes 2 and 5 respectively. Also the angle between d and b is Find…

A: hey dear this question is from topic dot product of vectors .I solved it . Have a look

Q: Find the vector v in the xy-plane with magnitude 5 if the angle between v and i is 150°.

A: Given data: Magnitude of the vector, v=5 Angle, θ=150°

Q: The components of two vectors are A = -2.0, Ay = -5.0, Az Find the angle between them: -4.6, B, 4.2,…

A:

Q: Find the cross product vectors A =i – 2j+ 3k and B = 2i + 3j - k

A: Given that:To determine the cross product of vectorsA=i-2j+3kB=2i+3j-k

Q: find the angle between the pair of vectors A=3.00i + 5.00j B=10.00i + 6.00j

A: Given data: A=3.00i + 5.00j B=10.00i + 6.00j Required: Angle between vector A and B

Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

A:

Q: Given the vectors = [(3.45 m)j + (1.75 m)k] and B = [(1.35 m)i + (2.25 m). What is the product BC?

A:

Q: Angular momentum is conserved when: O No answer text provided. O the external torque is greater than…

A: Torque: The actual rate of change of the system's total angular momentum L is equal to the net…

Q: are orthogonal.

A: Given that, A=4-3-25 and B=150k The condition of the orthogonality of two vector is given as, A⨥B=0

Q: Vectors A and B are given by: A = 89.23i + 32.22j B = 57.28i + 1.98j Find the scalar product AB.

A: Given: A=89.2i+32.22jB=57.28i+1.98j

Q: The unit vector along i+j is (a) k (b) i+j (c) (d) 블

A: Given: The vector is i^+j^. Introduction: A unit vector is that type of vector which have a…

Q: Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are…

A: Given that: The vector a is a=i+8j+4k The vector b is b=7i-6j-6k   It is required here to calculate…

Q: wo vectors (M = 4ax - 6ay) and (N = 6ax - 2ay - 5az) , find the vector perpendicular to these…

A:

Q: = 2. At any point of the curve x Tangent vector 3 cos t, y = 3 sin (ii) Unit tangent vector

A:

Q: Find 2 unit vectors orthogonal to both u = &lt;4,-2,3&gt; and v = &lt;0,3,7&gt;.

A: The objective of the question is to find two unit vectors that are orthogonal (perpendicular) to…

Q: Using the definition of dot product: A B = ABCOS (0AB) = AxBx + Ay By + A₂B₂ Find the angle between…

A: