Figure Q3(b) shows a uniform bar AB of mass = 8 kg hinged at point C. Point A is connected to a spring to maintain the bar in vertical direction, and the stiffness k = 500 N/m. If point A is displaced counter-clockwise by a small angle θ = 3.5 degree and released, (i) With the free body diagram and kinetic diagram, determine the initial horizontal displacement of A.  (ii) Determine the period of vibration.  (iii) Determine the maximum velocity and acceleration at point A.

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A: Given data  weight of bar and rollers assembly (w) = 60 lbs To determine  1) draw a free body…

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Q: F=350 N C R-0.2m Vo 2 m/s Figure Q4

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Q: P. 10 e- gure P12.19 Problems 19

A: Given that, θ=20°d=1 m,l=8 m,M=2000 kg,Cable's distance from the hinge is C=5 m,h=12 m,Lot's mass is…

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

A:

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

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Q: :)A 1200 N uniform boom at o = 65.0 degrees to the horizontal is supported by a cable at an angle 0…

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Q: The figure shows the cross section AB of a garage door which is a rectangular 2.5-m by 5-m panel of…

A: Determine the change in gravitational potential energy by using the below expression.

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A: Given: controlling curves of a governor is given,

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: A vehicle is running in a longitudinal way. Suppose the input x(t) is the acceleration, and the…

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Q: A block of mass M = 0.5 kg is attached to one end of a light string going over a massless,…

A: Given data: The mass of the block is m=0.5 kg The stiffness of the spring is k=50 Nm The…

Q: A horizontal board is held up by two supports. A cat sits on the end of the board, as shown. Find…

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Q: You are designing a system for moving aluminum cylinders from the ground to a loading dock. You use…

A: given data length (L) = 2m θ = 37° mass ( m) of cylinder = 450 kg radius R of cylinder = 0.300 m

Q: A mass m₁ = 2.0 kg is suspended over a pulley of moment of inertia, I₁ = 0.010 kg-m², and a radius,…

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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.