A 3 B B 3 3 D D Fig. P10.93 Fig. P10.94

Q: The 12-m beam AB rests upon, but is not attached to, supports at C and D. Determine the range of…

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Q: Using the method of Sec. 10.2C, solve Prob. 10.37.Reference to Problem 10.37:Knowing that the…

A: Draw the free-body diagram of the system.

Q: Knowing that P= 100 N, determine the range of values of θ for which equilibrium of the 7.5-kg block…

A: Draw the free-body diagram of the block.

Q: Two bars AD and DG are connected by a pin at D and by a spring AG . Knowing that the spring is 300…

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Q: Two uniform rods Ab and CD. of the same length I. are attached to gears as shown. Knowing that rod…

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Q: A spring of constant 15 kN/m connects points C and F of the linkage shown. Neglecting the weight of…

A: Case 1: Draw the F.B.D of the linkage in the given figure assuming tension in the spring. Taking yc…

Q: The control rod CE passes through a horizontal hole in the body of the toggle system shown. Knowing…

A: Given data: Length of link BD = 250 mm   Drawing the FBD of the system:

Q: Determine the value of θ corresponding to the equilibrium position of the rod of Prob. 10.10 when I=…

A: The force and dimensional geometry of slender rod can be modified as follows,

Q: Member AB is supported by a cable BC and at A by a square rod which fits loosely through the square…

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Q: Collars A and B are connected by a 25-in.-long wire and can slide freely on frictionless rods.…

A: Let the tension in the wire be T.

Q: Knowing that P = 100 N, determine the range of values of 0 for which equilibrium of the 7.5-kg block…

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Q: A collar B with a weight of W can move freely along the vertical rod shown. The constant of the…

A: To find: The value of θ corresponding to equilibrium. Given: The weight of the collar is W = 300 N.…

Q: Knowing that tension in cable AD is 370 N, determine the tension in cables AB and required to hold…

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Q: Knowing that the constant of spring CD is k ABC is horizontal, determine the value of 0…

A: From above fig we can say that: yA=lsin θ Therefore∂yA=lcos θ∂θLet h be the spring heightwhen…

Q: Determine the forces in the members of the roof truss shown 30.2kN 30° 30 30° A 12.2kN

A: Given Truss We have to find force in member of trusses using method of joint

Q: 450 b 300 b Fig.5 Q5: Determine the horizontal and vertical components of reaction at the pin A and…

A: Let horizontal and vertical reactions at the pin A are represented as RAX and RAY respectively. Let…

Q: Solve Prob. 10.32 assuming that the 900-N vertical force is applied at C instead of E.Reference to…

A: To determine: Value of x corresponding to equilibrium Given: Unstretched length of spring = 300 mm…

Q: A) Determine the x and y components of reaction at pin A using scalar notation. Ax,Ay= ? kN B)…

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Q: Two rods of negligible weight are attached to drums of radius r that are connected by a belt and…

A: The expression for the extension in the spring is given by; s=rθ1-rθ2 Here, r is the radius of drum,…

Q: [6]. A slender rod AB, of mass m, is attached to blocks A and B which move freely in the guides…

A: Given:-

Q: 6. A 12-m bar of negligible weight is acted upon by a vertical load P= horizontal load T 200 N and a…

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Q: 2a h 130 The diagram shows a ladder AB, of length 2a and mass m, resting in equilibrium on a…

A: According to the information a ladder AB of length 2a and mass m  is resting in equilibrium we have…

Q: Using the method of Sec. 10.2C, solve Prob. 10.39. Determine whether the equilibrium is stable,…

A: Given, P = 100 N l = 250 mm = 0.25 m K = 12.5 Nm/rad θ = ? at Equilibrium

Q: A vibration isolation unit consists of two blocks of hard rubber with a modulus of rigidity G= 19…

A: Given data: Modulus of rigidity (G) = 19 MPa                     A vibration isolation unit is given…

Q: A slender rod AB with a weight W is attached to two blocks A and B that can move freely in the…

A: Understand the following diagram for the elongation of the spring. Write the expression for the…

Q: Determine the value of θ corresponding to the equilibrium position of the rod of Prob. 10.14 when P…

A: Draw a diagram showing the reactions acting at supports A and B. Here, Ay is the reaction at A, Bx…

Q: .. M 30 IE

A: as ∑ MJ=0P X 3b = FAL X 3a⇒ FAL= 12 X 21.5= 16 kN (Tension)∑Fx=0     ⇒  FNL X Cos 30°…

Q: 9. Knowing that the coefficient of friction between the 15-kg block and the incline is us = 0.25,…

A: Free Body Diagram

Q: The lever AB is attached to the horizontal shaft BC that passes through a bearing and is welded to a…

A: Displacement at A can be determined as

Q: Three loads are applied as shown to a light beam supported by cables attached at B and D. Neglecting…

A: For Minimum value of Q when tension in D is zero Take Moment about B  7.5KN(0.5m)-Qmin(3m)=0…

Q: Collars A and B are connected by a 25-in.-long wire and can slide freely on frictionless rods.…

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Q: The horizontal bar BEH is connected to three vertical bars. The collar at E can slide freely on bar…

A: Given Data Length of link AB , DE, GH is: a=150 mm=0.15 m Length of the links BC, EF, HI is: b=200…

Q: Rod AB is attached to a block at A that can slide freely in the vertical slot shown. Neglecting the…

A: Vertical displacement of point A is yA=lAB+lBCsinθ=200+200sinθ=400sinθ After differentiating the…

Q: Solve Prob. 10.108 assuming that the 24-lb load is applied at C instead of E.(Reference to Problem…

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Q: Determine the forces in the members of the roof truss shown 23.4kN 30° 30° 30° 12.2kN B.

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Q: Collar A is connected as shown to a 50-lb load and can slide on a frictionless horizontal rod.…

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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.