posted by .

A solid uniform 45.0 kg ball of diameter 32.0 cm is supported against a vertical frictionless wall using a thin 30 cm wire of negligible mass. (a) make a free body diagram for the ball and use it to find the tension in the wire and (b) how hard does the ball push against the wall?
8 hours ago - 4 days left to answer.
Additional Details
It looks as though the 30 cm length coverst the length of the wire from the wall to the surface of the sphere. When I worked it out I added the length of the radius to it.

  • physics -

    Where is the wire attached to the ball? If the wall contact point is frictionless, the wire attached to the ball must, if extended, pass thtough the center of the ball; otherwise the string will apply an unbalanced torque about the center.

    The angle the string makes with the wall is given by
    sin A = R/(R + 30) = 32/62
    A = 31.1 degrees

    Now apply a moment balance about the string contact point at the wall. The string tension applies no moment there since it passes through the point. If F is the contact force at the wall,
    M g *32 = F * (30 + 32)cos 31.1

    F = 45*9.8/[0.62 cos 31.1)= 830 N

    You can get the string tension T from a hotizontal force balance.

    F = T sin 31.1

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A girl of mass 60 kg throws a ball of mass 0.8 kg against a wall. The ball strikes the wall horizontally with a speed of 11 m/s, and it bounces back with this same speed. The ball is in contact with the wall 0.05 s. What is the average …
  2. physics

    A uniform 250 N ladder rests against a perfectly smooth wall, making a 35 degree angle with the wall. (a)Draw a free body diagram of the ladder. (b) Find the normal forces that the wall and the floor exert on the ladder. (c) What is …
  3. physics

    A uniform 8 m 1500 kg beam is hinged to a wall and supported by a thin cable attached 2 m from the free end of the beam as shown in the figure. The beam is supported at an angle of 30 degrees above the horizontal. a) free diagram b) …
  4. Physics

    A girl of mass 55 kg throws a ball of mass 0.8 kg against a wall. The ball strikes the wall horizontally with a speed of 25 m/s, and it bounces back with the same speed. The ball is in contact with the wall 0.05 s. What is the average …
  5. physics

    A uniform horizontal bar of length L = 5 m and weight 243 N is pinned to a vertical wall and supported by a thin wire that makes an angle of theta = 39o with the horizontal. A mass M, with a weight of 300 N, can be moved anywhere along …
  6. Physics

    A racquet ball with mass m = 0.224 kg is moving toward the wall at v = 14.8 m/s and at an angle of è = 27° with respect to the horizontal. The ball makes a perfectly elastic collision with the solid, frictionless wall and rebounds …
  7. Physics

    An old building is being demolished by swinging a heavy metal ball from a crane. Suppose that such a 85kg ball swings from a 20-m-long wire at speed 10m/s as the wire passes the vertical orientation. What tension force must the wire …
  8. Physics

    Suppose a bouncy ball were thrown against a wall. The ball hit with 15 m/s and then bounced backwards with 15 m/s. The interaction time with the wall was 0.5 ms (5 x 10-3 s). If the ball's mass is 0.1 kg, what is the average force …
  9. physics

    A 15.0 m, 500 N uniform ladder rests against a frictionless wall, making an angle of 60 0 with the horizontal, as shown in Figure Q3(a). Draw the free body diagram and calculate the normal force FN exerted by the wall, horizontal FBI …
  10. Physics

    A ball of mass 8.0kg is suspended by two wires from a horizontal arm of 0.8m, which is attached to a vertical shaft. If wire 1 is 0.6m and wire 2 is 1.0m, what is the tension of wire 1 if the vertical shaft is in uniform rotation about …

More Similar Questions