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    Home work # 2

    Uploaded by

    lozasda98

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    © All Rights Reserved
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    Home work # 2

    Uploaded by

    lozasda98
    2 views5 pages

    Copyright

    © © All Rights Reserved

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    PDF, TXT or read online from Scribd

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    Copyright:

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

    Home work # 2

    Uploaded by

    lozasda98

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    You are on page 1of 5

    P2.

    1
    The cylindrical coordinate robot on a factory’s assembly line is shown in a top view. The 50 N
    force acts on a workpiece being held at the end of the robot’s arm. Express the 50 N force as a
    vector in terms of unit vectors i and j that are aligned with the x- and y-axes.

    P2.2
    During the power stroke of an internal-combustion engine, the 1.8 kN pressure force pushes the
    piston down its cylinder. Determine the components of that force in the directions along and
    perpendicular to the connecting rod AB.

    P2.3
    A hydraulic-lift truck carries a shipping container on the inclined loading ramp in a warehouse
    The 12 kN and 2 kN forces act on a rear tire as shown in the directions perpendicular and parallel
    to the ramp. (a) Express the resultant of those two forces as a vector using the unit vectors i and j.
    (b) Determine the magnitude of the resultant and its angle relative to the incline.
    P2.4
    The bucket of an excavator at a construction site is subjected to 5.5 kN and 3 kN digging forces
    at its tip. Determine the magnitude and direction of their resultant. Use the
    (a) vector algebra and
    (b) vector polygon methods. Compare the answers from the two methods to verify the accuracy
    of your work.
    P2.5
    Find a real physical example of a mechanical structure or machine that has a moment acting on
    it.
    (a) Make a clear labeled drawing of the situation.
    (b) Estimate the dimensions, and the magnitudes and directions of the forces that act on it. Show
    these on your drawing. Briefly explain why you estimate the dimensions and forces to have the
    numerical values that you assigned.
    (c) Select a moment pivot point, explain why you chose that point (perhaps it is important from
    the standpoint of the structure or machine not breaking), and estimate the moment produced
    about that point.
    P2.6
    The spur gear has a pitch radius of 65 mm. During a geartrain’s operation, a 900 N meshing force
    acts at 25° relative to horizontal. Determine the moment of that force about the center of the
    shaft. Use the
    (a) perpendicular lever arm and
    (b) moment components methods. Compare the answers of the two methods to verify the
    accuracy of your work
    P2.7
    Determine the moment of the 155 N force about the center A of the hex nut.

    P2.8
    The mobile boom lift is used in construction and maintenance applications. The hydraulic
    cylinder AB exerts a 10 kN force on joint B that is directed along the cylinder. By using the
    moment components method, calculate the moment of this force about the lower support point C
    of the boom.
    P2.9
    Adjustable pliers hold a round metal bar as a machinist grips the handles with P = 50 N. Using
    the free body diagram shown for the combined lower jaw and upper handle, calculate the force A
    that is being applied to the bar.

    P2.10
    The rolling-element bearings in a pillow-block bearing are contained within the housing block,
    which in turn can be bolted to another surface. Two radial forces act on the pillow-block bearing
    as shown.
    (a) Can the value of F be adjusted so that the resultant of the two forces is zero?
    (b) If not, for what value will the resultant be minimized?

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