A/ 200 mm 400 mm B 400 mm 200 mm

Q: Two uniform rods, each with a mass m , are attached to gears of equal radii as shown. Determine the…

A: Free-body diagram of the rods is given as, On using force equilibrium in the horizontal direction,…

Q: Knowing that mB= 70 kg and mC = 25 kg, determine the magnitude of the force P required to maintain…

A: Given Mass MB = 70 kg MC = 25 kg To find Magnitude of force P

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

A:

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: . A 800-N weight is attached at A to the lever shown. The constant of the spring BC is k=250 N/cm,…

A: Given, W=800Nk=250N/cmlength of lever,l=20cm=0.2mradius, r=7.5cm=0.075m Potential Energy of the…

Q: Two rods are connected by a frictionless collar B . Knowing that the magnitude of the couple MA is…

A: the reaction forces are shown on rod AB and collar          Balancing moment about A  B*cos*6 +…

Q: A couple M with a magnitude of 100 N.m is applied as shown to the crank of the engine system.…

A: The free-body diagram of the system is given below:

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: A slender rod with a length of L is lodged between peg C and the vertical wall, and supports a load…

A: Given data: Coefficient of static friction, μ = 0.15 Drawing the FBD of the rod: Let, N = Normal…

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

A: Given data: weight of the rod, W = 80 N, Length (l)                   = 500 mm…

Q: Two forces of magnitude TA= 7551 lb and TB= 14628 lb are applied as shown to a welded connection.…

A: FBD of the given figure can be drawn as shown below:   From the data given, TA = 7551 lb TB = 14628…

Q: Using the method of Sec. 10.2C, solve Prob. 10.34.Reference to Problem 10.34:

A: Given Mass of bar AB and BC is 5 kg Unstretched spring length is 150 mm Spring index = 1 kN/m To…

Q: Determine the value of θ corresponding to the equilibrium position of the rod of Prob. 10.12 when P…

A: Draw free body diagram Using geometry we can determine following

Q: Knowing that 0= 40°, determine the smallest force P for which equilibrium of the 7.5-kg block is…

A: Given Data: Mass of block is m = 7.5 kg. The angle θ=40°. Considering the block tends to move…

Q: Collar A can slide freely on the semicircular rod shown. Knowing that the constant of the spring is…

A: Draw sketch of spring for given condition

Q: A 6.5-m ladder AB leans against a wall as shown. Assuming that the coefficient of static friction Hs…

A: The free body diagram of the ladder is as follows:

Q: Knowing that tension in cable AD TAD= 370 N, determine the tension in cables AB and AC required to…

A:

Q: Situation 3: In the system of pulleys shown, determine P to maintain equilibrium. Neglect the weight…

A: To find : Determine P to maintain equilibrium  Given :  Free body diagram

Q: Knowing that the line of action of the force Q passes through point C , derive an expression for the…

A: Free body diagram is shown in the figure,

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: Two identical 5-ft-long rods connected by a pin at B are placed between two walls and a horizontal…

A:

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: Two rods AC and CE are connected by a pin at C and by a spring AE . The constant of the spring is k…

A:

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: Two rods are connected by a frictionless collar B . Knowing that the magnitude of the couple MA is…

A: Draw the FBDof the rod AB and collar  tanα=820α=21.8° Take moment about A Bcosα(6 in)+Bsinα(8…

Q: A slender rod AB is attached to two collars A and B that can move freely along the guide rods shown.…

A: The force acting on the collar B is P=400 N. The force acting on the collar A is Q=400 N. The angle…

Q: A load W with a magnitude of 100 lb is applied to the mechanism at C . Knowing that the spring is…

A: Given, The load W = 100 lb The stiffness of the spring k = 50 lb/in The spring is unstretched when…

Q: Two rods are connected by a frictionless collar B. Knowing that the magnitude of the couple MA is…

A: Draw the FBD of Rod AB & collar: tanα=820α=21.80° ∑.MA=0Bcosα(6 in)+Bsinα(8…

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: Collar A can slide freely on the semicircular rod shown. Knowing that the constant of the spring is…

A: Stretch of spring  S=AB-r S=2(rcosθ)-r S=r(2cosθ-1)

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

A:

Q: A homogeneous hemisphere with a radius r is placed on an incline as shown. Assuming that friction is…

A: Draw the hemisphere as shown below.

Q: A spring AB of constant k is attached to two identical gears as shown. Knowing that the spring is…

A: Deflection of spring is the extension of the length of the spring due to the rotation of the gear…

Q: A 6.5-m ladder AB leans against a wall as shown. Assuming that the coefficient of static friction μs…

A:

Q: Two bars AB and BC of negligible weight are attached to a single spring of constant k that is…

A:

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.