Identify the number of degrees of freedom of the following systems. Explain why. Specify generalized coordinates, (e.g. directions where dynamic loading is/are applied, etc.) which can be used to analyze the system’s motion for each system.

Q: Question 8: Figure 2 shows a rotational mechanical system. The shafts are flexible, represented by…

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Q: ystem. θ(s)/F(s) =? Show all intermediate o

A: Distance, L1 and L3 To-Determine:- a. Free Body Diagram b. Transfer function  θsFs

Q: How was the displacement for the spring between each of the masses obtained in the first picture?…

A: From the figure 3.5, The forces acting on the body of mass 'M2' are given by,k2q(t) in the opposite…

Q: l-ft -G 0 Determine: • the rate of increase in his speed, • and the tension in each of the two…

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Q: For the mechanical translation system below, find the force-voltage analogy and force-current…

A: 1)no of nodes =no of displacement  2)connect masses from nodes to reference 3)connect the other…

Q: Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this…

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Q: B

A: Given,

Q: Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this…

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Q: In graphics draw the Unitary vectors that we use in curvilinear movements: a) In Polar coordinates…

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Q: : Derive the equations of motion using Lagrange's equations.(

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Q: Suppose the block has a weight of 80 lb and the force F is being supplied by a motor which is…

A: Weight of block=80lbdistance(d)=6ftspeed of motor=Draw the free-body diagram of the system.

Q: Fundamental.7 deals with the equation of motion. The use of the equation of motion to solve this…

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Q: 3. Velocity and/or Acceleration Analysis. Make a complete velocity analysis of the linkage shown in…

A: Given data: ω2 = 36 rad/s CCWRAO2 =RDC= 1.5inRBA = 10.5 inRO4O2 = 6 inRBO4 = 5 inRO2O6  = 7 inREO6 =…

Q: An automobile is modeled as shown in Figure below. Derive the equations of motion, build the…

A: FOR solution refer below images.

Q: Use the SMART problem-solving methodology in finding the equivalent translational mass at location A…

A: Given : To find : equivalent translational mass at A

Q: echanism shown in figure P4.9, determine (a) the velocity of point 3 (b) the sliding

A: r02A = 6 cmrAB = 12 cmrBC = 9 cmθ1 = 315∘θ2 = 180 rpm  Angular velocity = 2 π N60 = 2 π 18060…

Q: Please help with this question    write out the equation of conservation of momentum below.

A: mass of ball m1=1.5 kg mass of ball m2=1.5 kg

Q: In the system pictured below, point B slides with velocity Vg. Given: B, l, vB Find: The velocity vc…

A: Draw the given diagram.

Q: 4.5 Using the excitation system models of (4.46) - (4.49), construct a block diagram in ref the…

A: Given:

Q: Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this…

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Q: Simplify the aircraft model, assuming it is in static equilibrium, taking pitch angle O, elevator…

A: Given:To find:(a) State space model.(b) Transfer function.

Q: Determine the rotational speed of link 3 of the mechanism given in figure P4.8 for the position…

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Q: In the figure, link 2 rotates with constant angular velocity 2. A slider link 3 moves outwards with…

A: To find :The magnitude and direction of the coriolis component of acceleration, Given :

Q: Problems (1) The mechanism below is not drawn to scale, Conduct acceleration analysis using vector…

A: Given: To find: Loop closure equation

Q: Mech Acceleration in one dimension TW-16 6. Carts A and B move along a horizontal track. The strobe…

A: Given: Cart A and Cart B with their distance over time schematic  To find: relation between VA and…

Q: This model is a person seated on a swing. The input of the swing is demonstrated as a torque T (t)…

A: This question is based on the combined topic of mechanical vibrations and theory of machines. The…

Q: The uniform 19 lb beam is initially at rest when the forces FA applied at A (on its left hand-side)…

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Q: : Nrite down the differential equation(s) that model the vertical dynamics of the system below…

A: dear student please rate me postive :) Stay safe stay happy !   data given - A system with two mass…

Q: A mass of 4 kg is attached to a spring. A force of 108 N is required to hold the spring stretched by…

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Q: * quiny 500 M T₁. T.₁. Fig.2

A: Given system is  Newton’s second law,  Inertia force = net restoring force

Q: The physical realization of a system to control liquied liver is shown in figure below Draw the…

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Q: Assume you have a 1U cubesat, which has a total mass of 2kg. It has one reaction wheel to control…

A: Given: Consider the given data, Total mass of the CubeSat, m=2 kg Mass of the reaction wheel, mw=0.2…

Q: 4.8 Attach body-fixed coordinate systems to bodies 2 and 3 in Fig. P.4.8 with their origins at C₂…

A: Constraint equation :                A Constraint equation can be defined as constant relationship…

Q: TRANSCRIBE THE FOLLOWING SOLUTION IN DIGITAL FORMAT PLEASE

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Q: ms mp mL A small frog of mass m, clings to the left end of a uniform pole of mass mp and length L,…

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Q: Derive an inverse dynamics for 1-DOF m: Mass g Center of Gravity

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Q: Fundamental.7 deals with the equation of motion. The use of the equation of motion to solve this…

A: To find: The tension in the sting. Given: The initial position of the bob is θ1=0°. The final…

Q: a) get the equation of motion by drawing the free body diagram of the given system. b) get the…

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Q: Look at the below system. Using either the conservation of energy method or Lagrange's method, solve…

A: To find: The governing equation of motion, kinetic and potential energy of the system. Given: The…

Q: 4 Pre-Lab 4.1 Equations Governing the Cart Dynamics Derive the following equation of motion for the…

A: Given: To find: Derive equation

Q: Write the mathematical equations for the mechanical rotational system given. Also find the tran…

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Q: The ideal gas law, discovered experimentally, is an equation of state that relates the observable…

A: Given: mass: m Velocity: Vx Length: Lx collision is elastic To find: force ?

Q: F₂ N 5 3 F₂ N The 79-kg crate is pulled with a force F₁=1,373-N and a force F₂=14-N tilted of 60°…

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Q: The magnitude and direction of Coriolis component of acceleration is

A: Given data, From the figure, Link 2 rotates with constant angular velocity=ω2Slider link 3 moves…

Q: a) Draw the oriented system graph given in Fig. Define the system pa- rameters and write the…

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.