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    TD Statics of Particle and Rigid Body

    Uploaded by

    Ung Channoutdom
    This document contains 17 problems involving the determination of forces, reactions, tensions, and other mechanical properties in static systems involving particles, rigid bodies, pulleys, trusses, and other structures. The problems cover a range of engineering concepts including forces, moments, equilibrium, center of mass, and mechanical advantage. Solutions would require the application of principles such as the law of moments, static equilibrium equations, and free body diagrams.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    TD Statics of Particle and Rigid Body

    Uploaded by

    Ung Channoutdom
    182 views5 pages
    This document contains 17 problems involving the determination of forces, reactions, tensions, and other mechanical properties in static systems involving particles, rigid bodies, pulleys, trusses, and other structures. The problems cover a range of engineering concepts including forces, moments, equilibrium, center of mass, and mechanical advantage. Solutions would require the application of principles such as the law of moments, static equilibrium equations, and free body diagrams.

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    TD Statics of particle and rigid body

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    This document contains 17 problems involving the determination of forces, reactions, tensions, and other mechanical properties in static systems involving particles, rigid bodies, pulleys, trusses, and other structures. The problems cover a range of engineering concepts including forces, moments, equilibrium, center of mass, and mechanical advantage. Solutions would require the application of principles such as the law of moments, static equilibrium equations, and free body diagrams.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    182 views5 pages

    TD Statics of Particle and Rigid Body

    Uploaded by

    Ung Channoutdom
    This document contains 17 problems involving the determination of forces, reactions, tensions, and other mechanical properties in static systems involving particles, rigid bodies, pulleys, trusses, and other structures. The problems cover a range of engineering concepts including forces, moments, equilibrium, center of mass, and mechanical advantage. Solutions would require the application of principles such as the law of moments, static equilibrium equations, and free body diagrams.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 5

    TD statics particle and rigid body (Practice in Mechanical Engineering)

    1. Determine the tension in cables AB, BC, and CD, necessary to support the 10-kg and 15-kg traffic lights at B and
    C, respectively. Also, find the angle θ.

    2. If the 5-kg block is suspended from the pulley B and the sag of the cord is d = 0.15 m, determine the force in
    cord ABC. Neglect the size of the pulley.

    3. The bearing consists of rollers, symmetrically confined within the housing. The bottom one is subjected to a 125-
    N force at its contact A due to the load on the shaft. Determine the normal reactions NB and NC on the bearing at
    its contact points B and C for equilibrium.

    4. Determine the maximum force F that can be supported in the position shown if each chain can support a
    maximum tension of 600 lb before it fails.
    5. The Blocks D and E have a mass of 4 kg and 6 kg, respectively. If F = 80 N, determine the sag s and distance x for
    equilibrium.

    6. Determine the components of reaction at the fixed support A. Neglect the thickness of the beam.

    7. The train car has a weight of 24000 lb and a center of gravity at G. It is suspended from its front and rear on the
    track by six tires located at A, B, and C. Determine the normal reactions on these tires if the track is assumed to
    be a smooth surface and an equal portion of the load is supported at both the front and rear tires.

    8. The truss is supported by a pin at A and a roller at B. Determine the support reactions.
    9. As an airplane’s brakes are applied, the nose wheel exerts two forces on the end of the landing gear as shown.
    Determine the horizontal and vertical components of reaction at the pin C and the force in strut AB.

    10. Determine the reactions at the supports.

    11. The mobile crane is symmetrically supported by two outriggers at A and two at B in order to relieve the suspension
    of the truck upon which it rests and to provide greater stability. If the crane boom and truck have a mass of 18 Mg
    and center of mass at G 1 , and the boom has a mass of 1.8 Mg and a center of mass at G 2 , determine the vertical
    reactions at each of the four outriggers as a function of the boom angle u when the boom is supporting a load
    having a mass of 1.2 Mg. Plot the results measured from u = 0° to the critical angle where tipping starts to occur.
    12. The operation of the fuel pump for an automobile depends on the reciprocating action of the rocker arm ABC,
    which is pinned at B and is spring loaded at A and D. When the smooth cam C is in the position shown,
    determine the horizontal and vertical components of force at the pin and the force along the spring DF for
    equilibrium. The vertical force acting on the rocker arm at A is FA = 60 N, and at C it is FC = 125 N.

    13. Calculate the force and moment reactions at the bolted base O of the overhead traffic-signal assembly. Each
    traffic signal has a mass of 36 kg, while the masses of members OC and AC are 50 kg and 55 kg, respectively. The
    mass center of member AC is at G.

    14. A bicyclist applies a 40-N force to the brake lever of her bicycle as shown. Determine the corresponding tension
    T transmitted to the brake cable. Neglect friction at the pivot O.
    15. A pipe P is being bent by the pipe bender as shown. If the hydraulic cylinder applies a force of magnitude F =
    24kN kN to the pipe at C, determine the magnitude of the roller reactions at A and B.

    16. During an engine test on the ground, a propeller thrust T = 3000 N is generated on the 1800-kg airplane with
    mass center at G. The main wheels at B are locked and do not skid; the small tail wheel at A has no brake.
    Compute the percent change n in the normal forces at A and B as compared with their “engine-off” values.

    17. A rocker arm with rollers at A and B is shown in the position when the valve is open and the valve spring is fully
    compressed. In this position, the spring force is 900 N. Determine the force which the rocker arm exerts on the
    camshaft C. Also calculate the magnitude of the force supported by the rocker-arm shaft O.

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