With the free body diagram and kinetic diagram, determine the initial horizontal displacement of A.

Q: A spherical tank with a radius of 3.41m that has a mass of 28928.644kg was supported in the system…

A: β: 21.774° θ: 46.452° R = 3.41m cylinder mass, m = 28928.644 It is asked to calculate the…

Q: For this problem, take a look at Figure 2. Assume that the rod is massless, perfectly rigid, and…

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Q: In the mechanical system in the figure, a rigid rod is bedded at point P and has mass m at its end.…

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Q: Work energy, 2. Figure 2 shows the model of a hammer mechanism comprising an impacting collar of…

A: given  mass of collar m= 4kgheight, h= 1.2mspring constant, k= 6 KNmfree length of spring, ls=…

Q: the diagram, wrong diagram is wrong. Find the equivalent spr k1= 100 lb/in k2=200 lb/in k3=100 Ib/in…

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Q: The bar DBC is supported by a roller at D (on a smooth slot), a bar AB, and the spring at C, which…

A: The roller gives a horizontal reaction Dx at D. The hinge gives a horizontal reaction Ax and…

Q: Determine the mass m, the compressive force AB and the tension force in cable BC.

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Q: A uniform rod PQ of mass mkg and length 4a, the end P of the rod is hinged to a point on the…

A: Step 1given data PR = 3amass of rod is 'm' kg (PQ)Tension T ≤2 mg13

Q: Q2/ In equilibrium position shown in figure below. The uniform bar (AB) has a mass of (50 kg) and…

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Q: - 3.3 m supported at its left The figure shows a horizontal beam of mass M = 22 kg and length L end…

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Q: A block of mass m hangs from the end of bar AB that is 5.5 meters long and connected to the wall in…

A: Write the position coordinates of A, B, C, and D.

Q: An initially horizontal, "massless" rigid rod of length 3a can rotate frictionlessly around a fixed…

A: The natural frequency of the system needs to be calcualted

Q: A tensile force of magnitude a N is desired to be created on the cable AB.

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Q: The PASCO human arm model is configured such that the cord representing the bicep is perfectly…

A: Given information: The  Force of the Bicep on the arm = F The Force due to Humerus on the arm = FH…

Q: (a) Revisit the problem and solve for the cable forces TAD, TAC, and reaction force components O Oy,…

A: To find-: a) The cable tensions and reaction forces at O. b) The moment of tension TAc along line…

Q: The bar shown in Figure Q1(a) has a mass of 15 kg and is subjected to a couple moment of M = 70 Nm…

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Q: The flywheel in Figure Q18 consists of two plates of mass m = 64 kg and thickness w = 0.050 m which…

A: The mass of the plate is m=64 kg The thickness of the plate is w=0.050 m The arm length is L=0.48 m…

Q: A spade is modelled as a uniform rod, of mass 2kg and length 90cm, attached to a uniform square…

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Q: The curved gate in Figure 3 is a 90º arc and is pivoted at O. It has a uniformly distributed mass of…

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Q: Figure (a) below represents a diagram of the bones and biceps muscle of the arm of a person…

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Q: A thin, cylindrical rod i = 25.0 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm…

A: Given , d=0.1 m                                M=2 kg l=0.25 m                              m=1.2…

Q: Consider the system shown in the following figure, which is plvoted at point O. Suppose the system…

A: Givena=0.4mb=1mM=2kgm=1kgK=106N/mc=59kg/sF=3N

Q: D y

A: β=tan-12+OC cosθ6-OCsinθ=tan-12+2.8cosθ6-2.8sinθl=2×4.2×sinθ2=8.4sinθ2hences=l-2=8.4sinθ2-2moment of…

Q: A uniform wheel of 60 cm dia. and weighing 1000 N rests against a rectangular block 15  cm high…

A: Given Diameter of the wheel = 60 cm = 0.6 m Weight of the wheel = 1000 N Block height = 15 cm = 0.15…

Q: The diagram shows a ladder AB, of length 2a and mass m, resting in equilibrium on a vertical wall of…

A: (a) Writing torque about point  2mgcos30od+2mgcos30oa=N1hsin30omg3a+2d2h=N1 (b) Redrawing the…

Q: 4 = k = k

A: Given

Q: Two carts with negligible rolling friction are connected as shown in Figure (1b). An input force…

A: b) Cart m1 Using balance as x-direction U(t)-k(x-q) – bd/dt(x-q)= M1d2x/dt2 -i) Cart m2 Using…

Q: For two existing torques, what third force at a given distance from the pivot will balance them?…

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Q: A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in…

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Q: 2. A pair of connected pulleys receive a force F = 100 N and P = 150 N as depicted in the image. The…

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Q: n the system shown, the bar AB can withstand a tension of 4.90 kN, and a compression of 2.53 kN; the…

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Q: For this problem, take a look at Figure 2. Assume that the rod is massless, perfectly rigid, and…

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Q: A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the…

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Q: We have a line of two equal masses m connected by three springs with spring constants c₁ = 1, c₂= 1,…

A: Given: To find: Stiffness matrix Displacements Limiting values of displacements

Q: A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in…

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Q: Let F₁ and F₂ be the centrifugal forces at maximum and minimum radii of rotation 1₁ and 12…

A: To Find : The stiffness of spring used in governor. Given : The radius of governor are The…

Q: A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the…

A:

Q: A uniform wheel of 60 cm diameter and weighing 1000N rest against a rectangular block 15 cm high…

A: Given data: Weight of wheel, W = 1000 N. Diameter of the wheel, d = 60 cm. Height of block, h = 15…

Q: A 90° 45° 30° P=20KN W

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Q: The uniform sphere B, of radius r= 6 cm and mass mg= 5 kg, is rigidly attached to the uniform thin…

A: The mass of sphere is The radius of sphere is The mass of AB rod is The length of rod is The…

Q: (a) Determine the equivalent stiffness of the wheel (b) Determine the equivalent stiffness of the…

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Q: 3.0 .0m

A: Given that, Mass of the box, m=15 kg, Drawing the free body diagram of the system, From Lami's…

Q: Problem 2. A uniform bar of mass m is pivoted at point O and supported at the ends by two springs,…

A: (a) To derive: The equation of motion and natural frequency of bar. Given: The mass of uniform bar…

Q: A uniform slender bar with mass, m, is shown below. The block is suddenly removed. Pin A is…

A: Data given- Uniform slender bar with mass m  Block is suddenly removed    To find- Intital angular…

Q: A four-bar mechanism is working on horizontal plane. The second link length is 0,4 m and makes an…

A: the pre-requisite condition for equilibrium is that , there should be no resultant moment or force…

Q: Şekildeki gösterilen AB kolu A noktasından bir motor ile döndürülebilmektedir. L-0.6 m, yay…

A: Given: length of arm, L =0.6 m Unstretched length of spring, Lf =0.65m Suppose θ is the angle…

Q: For the double slider mechanism shown in the following figure, the crank OA rotates at a uniform…

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Q: Two massless springs with different spring constants k₁= 100 N/m and k₂ = 10 N/m are aligned…

A: For solution refer below images.

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.