Given through the indicated points: A=280kN (12, 6, -4); B=520KN (-3, -4, 12); and C=270KN (6,-3,-6). Determine the resultant of the system of concurrent forces and the direction cosine of each of the axes having the following magnitudes, and passing through the origin.

Q: Find the centroid of the solid of constrant density p using cylindrical coordinates bounded by the…

A:

Q: Draw an accurate scaled vector model diagram illustrating the possible orientations of the moment…

A: Ques:

Q: 2. (a) A force F1, of magnitude 12V5 N, acts at the point (1, 7) towards the point (7, 10). Another…

A:

Q: every force acting on the particle's free-body diagram will create an impulse, even though some of…

A: True. For FBD although forces acting on body create impulse but the net work done by the impulsive…

Q: Compute the moment effect of force A and force B about each coordinate axis.

A:

Q: 2. Particle A lies on the xy plane and is acted on by the three forces shown. Find the resultant of…

A: We have coordinates of as- A=(2.1,1.8,0) B=(4.5,0,0) C=(1.2,0,0.6) D=(0,0,1.8) For DA- Direction…

Q: A certain force F has a moment of 180 N-m clockwise about point O and 94 N-m counterclockwise about…

A:

Q: Verify that the Hamiltonian equation H(x, p, t) = T + V = p2/2m + (k/2) (x − v0t)2 leads to the same…

A: The Hamilton’s equations of motion are ∂H∂p=x˙, and ∂H∂x=-p˙ From Newton's second law p˙=mx¨

Q: calculate the cosine of the angle between this two vectors : A=3i+j+k B=-2i-3j-k

A:

Q: 3. A force F = (6+m)î – (3 + n)j – R passes through the point B whose position vector is b = i - (4…

A: Force F→=(6+m) i^-(3+n) j^-k^  b→=i^-(4+m) j^+k^ a→=-i^-3 j^+(5+n) k^

Q: Given: Force P = (-24 i +18 j + 18 k) kN acting at C(3, -7, 2) m.  a) Determine the moment of the…

A: Given  Force P = (-24 i +18 j + 18 k) kN  Point C = (3, -7, 2) m  Point E = (-4,8,4) m  Point A =…

Q: When using the scalar triple product to calculate the moment that force F creates about an axis…

A: Given,  A pipe diagram of x-y-z axis. To find which position vector could give moment of F about an…

Q: Calculate the magnitude of resultant vector, angle and its direction of the ash flume of reach of…

A: displacement vector S = S1 + S2 + S3  S = 175(Cos48° i - Sin48° j) + 78(Cos25° i+Sin25° j) +…

Q: Show that in the cylindrical (polar) coordinates (r, 6, z), which are related to the rectangular…

A:

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

A:

Q: In this question the unit vectors i and j are in the directions east and north respectively. A…

A: The equations of motions can be found using:

Q: Consider a solid uniform ball of mass n without slipping near the bottom hemispherical fishbowl of…

A: Consider a solid uniform ball of mass m and radius R rolling without slipping near the bottom of a…

Q: Is the following statement true or false? The moment arm for a force and the line of action for the…

A: The expression for the torque is,

Q: Under what conditions, is linear momentum conserved? Check all that apply. There are no frictional…

A: To determine Conditions when linear momentum is conserved

Q: ihow how to resolve the force F into components acting along the u and v axes using the…

A: Using cosine rule,

Q: Determine the moments of the 3.4-kN force about point O and about point B.

A: Introduction: As the effect of force is to move body in translation as well as rotational motion.…

Q: The direction of the moment around any point M, is defined by its moment axis, which is horizontal…

A: Direction of moment:

Q: 3. A force É = (6+ m)î – (3 +n)j – k passes through the point B whose position vector is b = î – (4…

A: Here given a force F = (6+m)i - (3+n)j - k passes through a point B whose position vector is b = i -…

Q: A (-3; 2; 0), B (0; D; 6), C (2; -3; 0) and D (0; -3; 0), Since FBA = 152, FBC= 201 and FBD 192,…

A:

Q: In this question the unit vectors i and j are in the directions east and north respectively. A…

A: Given, Mass m=2 kg v=(pt2-3t) i+(8t+q) j

Q: A force F = (3i jN acts on a particle that undergoes a displacement given with Ar = (3i + 2j) m.…

A:

Q: Consider the ring-shaped object in Fig. E13.39. A particle with mass m is placed a distance x from…

A: Given:- A particle with mass m is placed a distance x from the center of the ring, along the line…

Q: Which of the following is conserved if the Lagrangian of the system is given as: 1 L=-m(x° + y*…

A: If the Lagrangian of the system is given, then the Lagrange's equation is defined as follows:

Q: A painter (of mass 72 kg) needs to reach out from a scaffolding to paint the side of a building, so…

A:

Q: Now find M (the magnitude of the couple in the original system) so that the moments about point Bare…

A: Part 1

Q: Two masses interact under an attractive conservative central force. The total energy is given by 12…

A: Introduction: The central force is conservative force which is directed towards the center or away…

Q: Determine the x- and y-components of all forces act- ing on each member of the loaded frame for the…

A:

Q: A bullet of mass 120g is fired horizontally into a fixed wooden block with a speed of 20 m/s. If the…

A:

Q: An object of mass 4.4 kg is not moving on a plane with an angle 0, and of u= o.74, what is the…

A:

Q: Consider a conical pendulum with a bob of mass m = 81.0 kg on a string of length L = 10.0 m that…

A:

Q: •29 ILW In the instant of Fig. 11-41, POTD two particles move in an xy plane. Particle P, has mass…

A:

Q: Find the direction cosines of angles from x, y, and z axis of the force F = 350N and passing through…

A:

Q: A thin uniform rod of mass M, and length L is suspended from the ceiling and mounted on a horizontal…

A:

Q: 1900 N 900 N 20 30 F25 70°

A:

Q: xplain categories of equilibrium? efine a dot product of two vectors A and B, here A = Axi + Avi +…

A: if net force force acting on body is zero then object is said to be in equilibrium.

Q: Two forces P and Q pass through a point A which is 4m to the right of 3m above a moment center 0.…

A:

Q: The gusset plate shown is subjected to the forces of four members. Determine the force in member B…

A:

Q: A force F = (6+m)î – (3 + n)} – k passes through the point B whose position vector is b = î - (4 +…

A: The moment of a force F acting at position r w.r.t the point of rotation is given by:

Q: The moment vector is perpendicular containing the force * O True False

A: False, Moment vector is perpendicular to force, not contiaing the force . Explanation :-     Since ,…

Q: The chandelier is supported by four chains which are concurrent at point O. If the force in each…

A: Given,