physics

Figure shows a block (mass ) on a smooth horizontal surface, connected by a thin cord that passes over a pulley to a second block which hangs vertically. (a) Draw a free-body diagram for each block, showing the force of gravity on each, the force (tension) exerted by the cord, and any normal force. (b) Apply Newton’s second law to find formulas for the acceleration of the system and for the tension in the cord. Ignore friction and the masses of the pulley and cord.

  1. 👍 0
  2. 👎 0
  3. 👁 987
  1. m1 up top
    m2 falling
    tension T
    distance m2 moves DOWN is x is also distance m1 moves horizontal (string does not stretch)
    now for m1
    force down on table = m1 g
    force up from table = m1 g
    no vertical acceleration
    only force horizontal is T
    so horizontal acceleration = a1 = T/m1
    now for m2
    no horizontal force or acceleration
    force down = m2 g
    force up = T
    total force down = m2 g - T
    acceleration a2 = (m2 g -T)/ m2
    now if the string does not stretch then a2 = a1
    T/m1 = (m2 g - T)/m2
    T (m2/m1) = m2 g - T
    T (1 + m2/g) = m2 g
    now if by any wild chance (to check answer) m2 = m1 = m
    2 T = m g
    T = mg/2 LOL, yes accelerates half as fast as one would alone :)

    1. 👍 0
    2. 👎 0
    👨‍🏫
    Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    a 10-kg block on a perfectly smooth horizontal table is connected by a horizontal string to a 63-kg block that is hanging over the edge of the table. What is the magnitude of the acceleration of the 10-kg block when the other

  2. physics

    A block of mass m1=3.70kg on a frictionless plane inclined at angle 30 deg is connected by a cord over a massless, frictionless pulley to a second block mass m2= 2.30kg. What is... a) The magnitude of the acceleration of each

  3. Physics

    A small block on a frictionless horizontal surface has a mass of 2.50×10−2 Kg. It is attached to a massless cord passing through a hole in the surface. The block is originally revolving at a distance of 0.300 m from the hole

  4. Physics

    two blocks of masses m1=4.5 kg and m2=6.5 kg resting on a frictionless surface are connected by a light inextensible cord. A horizontal force F of 33.0 N directed to the right is applied to the block with m1 and a horizontal force

  1. physics

    Mass mA rests on a smooth horizontal surface, mB hangs vertically.If m_{\rm{A}}=13.0 kg and m_{\rm{B}}=3.0 kg in the figure , determine the magnitude of the acceleration of each block.

  2. physics

    In the Figure the pulley has negligible mass, and both it and the inclined plane are frictionless. Block A has a mass of 1.3 kg, block B has a mass of 2.7 kg, and angle è is 26 °. If the blocks are released from rest with the

  3. physics

    In Figure (a), a block of mass m lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (spring constant k) whose other end is fixed. The block is initially at rest at the position where the

  4. Physics

    Two blocks are connected by a string, The smooth inclined surface makes an angle of 35 degrees with the horizontal, and the block on the incline has a mass of 5.7kg. The mass of the hanging block is m=3.2kg. Find the direction and

  1. Physics

    A block of mass 5.53 kg lies on a frictionless horizontal surface. The block is connected by a cord passing a. over a pulley to another block of mass 2.25 kg which hangs in the air. Assume the cord to be light (massless and

  2. Physics

    A block of mass 3m is placed on a frictionless horizontal surface, and a second block of mass m is placed on top of the first block. The surfaces of the blocks are rough. A constant force of magnitude F is applied to the first

  3. Physics

    1. The figure shows a 100-kg block being released from rest from a height of 1.0 m. It then takes 0.53 s for it to reach the floor. What is the mass m of the block on the left? There is no friction or mass in the pulley, and the

  4. Physics

    A small block on a frictionless horizontal surface has a mass of 2.50×10−2 Kg. It is attached to a massless cord passing through a hole in the surface. The block is originally revolving at a distance of 0.300 m from the hole

You can view more similar questions or ask a new question.