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    Ensc 11 Chapter 1 Sample Problems

    Uploaded by

    Dexter Hernandez
    This chapter outline covers fundamental concepts of statics including force systems, equilibrium of particles, and force-couple systems. It includes 3 sample problems for each section to demonstrate determining resultant forces of coplanar systems, solving for unknown forces in equilibrium problems, and replacing force systems with equivalent single forces or force-couple combinations. The problems progress in complexity and cover using various methods like the parallelogram law, rectangular components, and tip-to-tail to analyze forces and determine equilibrium conditions.

    Copyright:

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

    Ensc 11 Chapter 1 Sample Problems

    Uploaded by

    Dexter Hernandez
    210 views14 pages
    This chapter outline covers fundamental concepts of statics including force systems, equilibrium of particles, and force-couple systems. It includes 3 sample problems for each section to demonstrate determining resultant forces of coplanar systems, solving for unknown forces in equilibrium problems, and replacing force systems with equivalent single forces or force-couple combinations. The problems progress in complexity and cover using various methods like the parallelogram law, rectangular components, and tip-to-tail to analyze forces and determine equilibrium conditions.

    Original Description:

    statics of rigid bodies

    Original Title

    Ensc 11 Chapter 1 Sample Problems (1)

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    This chapter outline covers fundamental concepts of statics including force systems, equilibrium of particles, and force-couple systems. It includes 3 sample problems for each section to demonstrate determining resultant forces of coplanar systems, solving for unknown forces in equilibrium problems, and replacing force systems with equivalent single forces or force-couple combinations. The problems progress in complexity and cover using various methods like the parallelogram law, rectangular components, and tip-to-tail to analyze forces and determine equilibrium conditions.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    210 views14 pages

    Ensc 11 Chapter 1 Sample Problems

    Uploaded by

    Dexter Hernandez
    This chapter outline covers fundamental concepts of statics including force systems, equilibrium of particles, and force-couple systems. It includes 3 sample problems for each section to demonstrate determining resultant forces of coplanar systems, solving for unknown forces in equilibrium problems, and replacing force systems with equivalent single forces or force-couple combinations. The problems progress in complexity and cover using various methods like the parallelogram law, rectangular components, and tip-to-tail to analyze forces and determine equilibrium conditions.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 14

    ENGINEERING SCIENCE 11

    CHAPTER 1.1
    PRINCIPLES OF
    STATICS
    CHAPTER OUTLINE:
    Fundamental Concepts and Definitions
    Scalar and Vector Quantities
    Force Systems
    Professor-in-Charge: Engr. F. M. Mulimbayan
    Assistant Professor 1
    DES, CEAT, UPLB
    PROBLEM 1
    The screw eye is subjected to two forces,
    F1 and F2. Determine the magnitude and
    direction of the resultant force.

    2
    PROBLEM 2
    Resolve the horizontal 600-lb force into
    components acting along the u and v axes
    and determine the magnitudes of these
    components.

    3
    PROBLEM 3
    The system of coplanar forces acting on the
    particle is shown below:

    4
    PROBLEM 3
    Determine the following:
    a. The components of the 300-N force along u and v
    axes using Parallelogram Law
    b. Magnitude and direction of force F that must be
    added for the resultant to have a magnitude of
    250 N directed 25° east of north using
    Rectangular Component method.
    c. Magnitude and direction of minimum force F that
    must be added for the resultant to have a
    magnitude of 250 N using Tip-to-Tail Method
    d. Magnitude and direction of maximum force F that
    must be added for the resultant to have a
    magnitude of 250 N using Tip-to-Tail Method
    e. Magnitude and direction of the minimum
    resultant R if F to be added is vertically
    downward using Tip-to-Tail Method
    5
    ENGINEERING SCIENCE 11
    CHAPTER 1.2
    EQUILIBRIUM OF
    PARTICLES
    CHAPTER OUTLINE:
    Conditions for Equilibrium
    Coplanar Force Systems
    Prepared by: Engr. F. M. Mulimbayan
    Assistant Professor 1
    DES, CEAT, UPLB
    PROBLEM 1

    Consider the structure


    shown. If P = 100 N,
    determine the forces
    supported by cable AB and
    bar AC .

    7
    PROBLEM 2

    A pulley-cable
    assembly as shown
    supports block W and
    for equilibrium, it
    requires two blocks
    – one weighing 3
    slugs and the other
    5 slugs. Calculate
    the minimum mass of
    block W, in slug.
    Also, compute the
    deformation of the
    spring CE, in ft.

    8
    PROBLEM 3

    The system shown consists of cables AB & AC,


    horizontal cable CE & vertical bar CD. If the
    cables & bar have the failure strengths shown,
    determine the largest load P that can be
    supported by the system.

    9
    ENGINEERING SCIENCE 11
    CHAPTER 1.3
    FORCE-COUPLE
    STYSTEM
    CHAPTER OUTLINE:
    Moment of a Force and Couple
    Equivalent System
    Resultant of Force-Couple System
    Prepared by: Engr. F. M. Mulimbayan
    Assistant Professor 1
    DES, CEAT, UPLB
    PROBLEM 1
    The weights of the various components of the
    truck are shown. Replace this system of
    forces by an equivalent resultant force and
    specify its location measured from point A.

    11
    PROBLEM 2
    Four tugboats are used to bring an ocean liner to its
    pier. Each tugboat exerts 50-lb push in the direction
    shown. Determine the (a) equivalent force-couple
    system at the foremast, O and (b) the point on upper
    side of the hull where a single, more powerful
    tugboat should push to produce the same effect as the
    original four tugboats.

    12
    PROBLEM 3
    For the force-couple
    system shown determine
    the following:
    a. Magnitude of the
    couple moment Mc so
    that the equivalent
    system is a single
    force acting at
    point P
    b. Point of application
    of the single
    equivalent force
    along line AB if
    𝑀𝐶 is equal to 180
    lb-ft
    counterclockwise. 13
    PROBLEM 3

    14

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