Mechanics Question

Two blocks connected by a thread are being pulled horizontally by a force 40N as shown in. Assume no friction in between the floor and the blocks.

a)Find the tension T on the two blocks.

b)What is the acceleration of the 3 kg block?

Now we consider there are frictions between the floor and the blocks static friction coefficient u2 is 0.6 and kinetic friction coefficient 0.5

c)Draw the free diagram for 3kg and 5 kg block.

希望有數學高手解答,在此大大的感激不盡!請用英文作答!

1 個解答

評分
  • 天同
    Lv 7
    5 年 前
    最佳解答

    Since a diagram is missing, I assume that the 3 kg block is in front of the 5 kg block. The force of 40N applies onto the 3 kg block.

    (a) Acceleration of the blocks = 40/(3+5) m/s^2 = 5 m/s^2

    Hence, tension in the string connecting the blocks

    = 5 x 5 N = 25 N

    (b) 5 m/s^2 from (a)

    (c) The block in front (3 kg block) is acted by three forces:

    (i) 40N pulling force

    (ii) tension in the string (in direction opposite to the 40N force)

    (iii) frictional force (in direction opposite to the 40N force)

    The 5 kg block is acted by two forces:

    (i) string tension

    (ii) frictional force (in direction opposite to string tension)

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