When a force F acts on a linear spring, the elongation x of the spring is given by F = kx, where k is called the stiffness of the spring. Determine the dimension of k in terms of the base dimensions of an absolute [MLT] system of units.

Q: 05 Determine the magnitade of the resultant force and its direction, measured clockwise from the…

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Q: The position of a particle moving along the x-axis is given by x = t3 - 3t2 -45t. Plot the x-t, v-…

A: The position of a particle is given as, Draw the table at the end points. Time Position 0…

Q: a · x + b What is the dimension of the bi-linear form, when [a] = M²L'T-1, [b] = MªL'T-1, and C• x +…

A: Data given-  [a] = M2 L1 T-1  [b] = M4 L1 T-1  [c] = M-1 L-2 T1

Q: Take the scale of 10 N = 1 cm in a graphical solution, then the resultant of 10 cm in length should…

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Q: Q2) Determine the length of member AB and its direction by Cartesian position vector from A to B.…

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Q: Given the 600-N force applied to the bracket at A in Fig 1, determine: (a) the horizontal, Fx and…

A: ∴ FX=600 cos 30=60032=519.62N    FY=600 sin 30=60012=300N

Q: draw two Forces F₁ and F. Choose your own scale (e.g. 1 N = 1 cm). Apply the parallelogram law in…

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Q: B00 N Deter mine the magni nde nd direction 200 of the resultont 300M forces 40 shown in the hiyure.…

A: Solution: Sum of the forces in the horizontal direction, ∑FH=200cos30+300-420sin40=203.234N Sum of…

Q: -180 +180

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Q: In Newton's law of gravitation  If F is a force, m1 and m2 are masses, and r is a distance,…

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Q: Find the first and second derivatives of the parametric equation x = t³ + 3t² ; y = t³ - 3t²

A: x = t³ + 3t² ; y = t³ - 3t² dxdt=3t2+6t  dydt=3t2-6tdydx=dydtdxdt=3t2-6t3t2+6t…

Q: For the objects shown below sketch the object in the space provided after rotating it about the axis…

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Q: Please I'm begging you i need your help I want you do Graph between Shear Stress, τ (GPa) [Axis y]…

A: To Plot shear stress vs shear strain graph for the given values.

Q: 7. The corner plate of the hull of the ship is curved on the arc of a circle with a 1.5 m radius. If…

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Q: The magnitude, F, of the force shown and the dimensions a, b and c are given. In terms of given…

A: displacement vector = S→= PR→-PQ→ =c j + bk unit vector along PQ  PQ^ = 1a2+b2+c2(a i + c j + b k)…

Q: The lower edge of dam is defined by the parabola y = x^2/16. Use the coordinate system with y=0 at…

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Q: Determine the length of member AB and its direction by Cartesian position vector from A to B. Fig…

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Q: The dimensions of the L-shaped beam shown below are A units along the z axis and Bunits along the -x…

A: Given, The force vector F, F→=Xi^+Yj^+Zk^ To determine, the reaction force vector at the fixed end O

Q: Tower 1 - 300 km 15° EastofNorth @ 2:50 AM; Tower 2 - 250 km North @ 2:30 AM; and Tower 3 - 283 km…

A: From the given condition: we can locate the position of the jet as shown below. From tower 3, the…

Q: A rod of mass M and length Lis nonuniform such that its mass per unit length varies with x according…

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Q: 1- Find the magnitude and direction of the coriolis force on a racing car of mass 1 a 10 metric tons…

A: Mass, m= 10 metric tons= 10(1000) kg= 10000 kg Speed, v= 400 km/hr= 40010003600 m/s= 400036 m/s…

Q: a) The moment of force M is formed by the cross product of a moment arm r and an applied force (F),…

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Q: 5 V/m Ω kgs.m/s OC 00 V pounds

A: 1 S 2V 3 S 4 V 5 S 6 S 7 S 8 S 9V

Q: The curve y = 2x2+3 is rotated about (a) the x-axis between the limits x = 0 and x = Determine the…

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Q: 4. If the (mv. = hf - W), Prove that by using the scale units of each quantities. %3D

A: Given Data⇒ Problem statement⇒ Problem says prove this by using the scale units of each quantities.

Q: A 2 46 KN C 2 B 30 kN/m 1,5 D

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Q: a · x + b What is the dimension of the bi-linear form, when [a] = M²L'T-1, [b] = MªL'T-1, and [c] a…

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Q: 1. The cable BH exerts a force on point B that points from B to H. The magnitude of this force, FBH,…

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Q: The force R is the resultant of the forces P1, P2, and P3 acting on the rectangular plate. Find P1…

A: Given  R = 40 kN  direction of R = 30o with the horizontal  P3 = 20 kN

Q: The cable BH exerts a force on point B that points from B to H. The magnitude of this force, FBH,…

A: Scalar projection P on BG is 0.75 FBH

Q: For Part A: Indicate the directions of displacements/ forces for each joint. Write the vectors Q and…

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Q: V = (Ax?) i +(B/y) j What are the dimensions of A and B? What are the units of A and B?

A: We will answer the first question since the exact one was not specified. Please submit a new…

Q: Q2 : Use the dimensional analysis to find the mistakes in the given equation that is considered as…

A: Given: Height of the cone=hSlant height of the cone=LRadius of the base of the cone=r

Q: Q2/scale the Rhombus defined by the points p1=( 3,1), p23(5,3), p3=(3,5) & p4=(1,3) by a scale…

A: Given P1 = 3, 1 P2 = 5, 3 P3 = 3, 5 P4 = 1, 3 Scale factor ½ To find Rhombus with scaled factor ½

Q: For the area shown below defined by the two curves, to find ly by integration you use a dA element…

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Q: y = 2x2  curve,It is bounded by x =1 ,x=2 and the Ox axis.of a plate placed in this delimited…

A: The total mass of the curve can be determined using integrating the small section of the closed area…

Q: y = sinx of the curve x=0 and x= n of the closed zone between the truth calculate the length of the…

A: The expression of the curve is given as, Differentiate the above expression with respect to x, The…

Q: the resultant acceleration (in m/s²) of the end P is .

A: Given, Rigid link PQ, length,l= 2m Acceleration a= 12 rad/s2Angular velocity,ω= 4rad/sDetermine the…

Q: y (NOT IN SCALE) Determine the unit vector of a force vector F, where 01 = 50° , 02 = 55°, and F =…

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Q: Take the scale of 10 N = 1 cm in a graphical solution, then the resultant of 10 cm in length should…

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Q: If the plan of a point P lies 25 mm above XY and its elevation is 40 mm above XY, in whichquadrant…

A: Given: The distance of the plan (top view) is p=25 mm and it is above the XY line. The distance of…

Q: The stress tensor at a point in a body is given by the following matrix with reference to x-y-z…

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Q: A concrete sidewalk is constructed between two buildings on a day when the temperature is 86 degrees…

A: Temperature=86°FL=3mTemperature rise=113°F To-Find:- Vertical Distance y

Q: 1. Given the directional cosine matrix [A]=[aj]. Prove the transformation of a stress tensor follows…

A: For solution refer below images.

Q: STATICS AND STENGITH OF MATERIALS Question: Express force Fas a Cartesian vector, then determine its…

A: Given: F = 600 lb a = 1.5 ft b = 5 ft c= 3 ft theta = 60 deg

Q: From the stress states in a Cartesian coordinate system, the following tensors are obtained: σxy =…

A: GIVEN :- Stress tensor : 100-100-100-800 where,  σx=100 MPaσy=-800 MPaζxy=-100 MPa   TO DETERMINE :-…

Q: The 50 N force is applied to the lever cutter handle. Determine the force exerted by the cutting…

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Q: Coordenadas del punto A= {x,y} m Sujetador Polea sin fricción 4 F, = FN

A: The resultant force is given as: Fr = 397.34 N F= 76 Ni -390 Nj F=Fr = 76 Ni -390 Nj