A uniform rod of length 50cm and mass 0.2kg is placed on a fulcrum at a distance of 40cm from the left end of the rod. At what distance from

Question

A uniform rod of length 50cm and mass 0.2kg is placed on a fulcrum at a distance of 40cm from the left end of the rod. At what distance from the left end of the rod should a 0.6kg mass be hung to balance the rod?
a.48 cm
b. 50 cm
c. 45 cm
d. the rod can not be balanced with this mass. e.42 cm​

in progress 0
Amity 5 years 2021-08-03T05:19:24+00:00 1 Answers 410 views 0

Answers ( )

  1. ThanhThu
    0
    2021-08-03T05:20:41+00:00
    Reply

    Answer:

    x = 45 cm

    Explanation:

    Given that,

    The length of a rod, L = 50 cm

    Mass, m₁ = 0.2 kg

    It is at 40cm from the left end of the rod.

    We need to find the distance from the left end of the rod should a 0.6kg mass be hung to balance the rod.

    The centre of mass of the rod is at 25 cm.

    Taking moments of both masses such that,

    15\times 0.2=x\times 0.6\\\\x=\drac{3}{0.6}\\\\x=5\ cm

    The distance from the left end is 40+5 = 45 cm.

    Hence, at a distance of 45 cm from the left end it will balance the rod.

Leave an answer

Browse

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