A man using a 70kg garden roller on a level surface, exerts a force of 200N at 45 degrees to the ground. find the vertical force of the roll

Question

A man using a 70kg garden roller on a level surface, exerts a force of 200N at 45 degrees to the ground. find the vertical force of the roller on the ground if,
i.he pulls
ii.he pushes the roller​

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Calantha 5 months 2021-08-09T06:28:11+00:00 1 Answers 16 views 0

Answers ( )

    0
    2021-08-09T06:29:32+00:00

    Answer:

    i) 545.2 N  upwards

    ii) 828.2 N  downwards

    Explanation:

    mass of the roller = 70 kg

    force exerted = 200 N

    angle the force makes with the ground ∅ = 45°

    weight of the roller W = mg

    where

    m is the mass of the roller

    g is the acceleration due to gravity = 9.81 m/s^2

    weight of the roller = 70 x 9.81 = 686.7 N

    The effective vertical force exerted by the man = F sin ∅ = 200 x sin 45°

    ==> F = 200 x 0.707 = 141.5 N

    i) if the man pulls, then the exerted force will be in opposite direction to the weight of the roller vertically upwards

    Resultant vertical force = 686.7 N – 141.5 N = 545.2 N  upwards

    ii) if he pushes, then the exerted force will be in the direction of the weight vertically downwards

    Resultant vertical force = 686.7 N + 141.5 N = 828.2 N  downwards

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