Machine Design Miscellaneous


  1. A force of 400 N is applied to the brake drum of 0.5 m diameter in a band brake system as shown in figure, where the wrapping angle is 180°. If the coefficient of friction between the drum and the band is 0.25, the braking torque applied, in Nm is









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    As the drum is rotating in anti clock wise direction, T1 will be right side & T2 will be clock side.

    T1
    = eμθ = e0.25 × π = 2.19
    T2

    ⇒  T2 = = 182.375 N
    Braking torque = (T1 – T2 )r
    = 54.4 N – m

    Correct Option: B


    As the drum is rotating in anti clock wise direction, T1 will be right side & T2 will be clock side.

    T1
    = eμθ = e0.25 × π = 2.19
    T2

    ⇒  T2 = = 182.375 N
    Braking torque = (T1 – T2 )r
    = 54.4 N – m


  1. A band brake having bandwidth of 80 mm, drum diameter of 250 mm, coefficient of friction of 0.25 and angle of wrap of 270 degrees is required to exert a friction torque of 1000 N m. The maximum tension (in kN) developed in the band is









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    Given: b = 80 mm = 0.08 m D = 250 mm = 0.25

    R =
    D
    = 0.25
    2

    μ = 0.25
    θ = 270° = 270 ×
    π
    = 4.712 radians
    180

    Ft = 100 N-m
    As  
    p1
    = eμθ
    p2

    ⇒  p1 = eμθ ⋅ p2 = e0.25 × 4.712 ⋅ p2 = 3.25p2
    Now, Ft = (p1 − p2)R
    ∴  1000 = p1
    p1
    0.125
    3.25

    Solving, we get maximum tension in the belt,
    p1 = 11.56 kN

    Correct Option: D

    Given: b = 80 mm = 0.08 m D = 250 mm = 0.25

    R =
    D
    = 0.25
    2

    μ = 0.25
    θ = 270° = 270 ×
    π
    = 4.712 radians
    180

    Ft = 100 N-m
    As  
    p1
    = eμθ
    p2

    ⇒  p1 = eμθ ⋅ p2 = e0.25 × 4.712 ⋅ p2 = 3.25p2
    Now, Ft = (p1 − p2)R
    ∴  1000 = p1
    p1
    0.125
    3.25

    Solving, we get maximum tension in the belt,
    p1 = 11.56 kN



  1. In spur gears, the circle on which the involute is generated is called the









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    NA

    Correct Option: C

    NA


  1. Interference in a pair of gears is avoided, if the addendum circles of both the gears intersect common tangent to the base circles with in the points of tangency.









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    NA

    Correct Option: A

    NA



  1. For a pinion of 15 teeth, under cutting ______ (increases/decreases) with _______(increase/ decrease) of pressure angle.









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    Interference decreases with increase in pressure

    Correct Option: A

    Interference decreases with increase in pressure