It is known that the 10 kg pipe will roll up the ramp and not slide on the ramp when P becomes sufficiently large. Using the rolling assumpt

Question

It is known that the 10 kg pipe will roll up the ramp and not slide on the ramp when P becomes sufficiently large. Using the rolling assumption, find the minimum P required to cause impending motion of the 10 kg pipe up the ramp. Note that the coefficients of friction for the block/ramp, the pipe/ramp and the pipe/block contacts are each 0.30.

in progress 0
Acacia 5 years 2021-08-04T14:15:01+00:00 1 Answers 56 views 0

Answers ( )

  1. Philomena
    0
    2021-08-04T14:16:38+00:00
    Reply

    Answer:

    65.73N

    Explanation:

    The frictional force is a force that opposes the motion of an object on a flat surface or an inclined surface.

    It is always acting up an incline plane .

    Since the pipe will tend to roll up the plane, then both the impending force P also known as frictional force and the moving force Fm both will be acting up the plane.

    The net force acting up the plane is

    Fnet = P + Fm… (1)

    The force perpendicular to the plane known as the normal reaction R must be equal to the force acting along the ramp in other to keep the body in equilibrium i.e R = Fnet

    If R = W = mgcos (theta)

    and Fm = mgsin(theta)

    Then mgcos theta = Fnet

    mgcos (theta) = P+Fm

    mgcos (theta) = P+mgsin(theta)

    P = mgcos (theta) – mgsin(theta)… (2)

    Given mass = 10kg

    g = 9.81m/s

    We can get theta from the formula;

    µ = Ff/R = wsin theta/wcos theta

    µ = sin theta/cos theta

    µ = tan(theta)

    0.3 = tan (theta)

    theta = arctan0.3

    theta = 16.7°

    P = 10(9.81)cos16.7° – 10(9.81)sin16.7°

    P = 98.1(cos16.7°-sin16.7°)

    P = 98.1(0.67)

    P = 65.73N

    The minimum force P required to cause impending motion is 65.73N

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )