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A point mass m1 = 1.3 kg is attached to a massless rod with length L, so that together they form a simple pendulum. The pendulum is initially kept still in the horizontal position (A in the figure). On the surface below (B in the figure) lies a block at rest with mass m2 = 0.80 kg. This surface is frictionless between B and C, while there is friction between C and D (see figure). The distance between C and D is 0.30m. The air resistance is negligible in this task. The acceleration of gravity is given at g = 9.81 m / s. The pendulum is now released so that it swings down. Immediately before m1 collides with m2, m1 has a velocity of 3.8 m / s. i) Draw a free-body diagram for m1 in the downswing as the angle between the pendulum and the vertical is 45◦. ii) Use the conservation of mechanical energy to find the length L of the pendulum (note that L is equal to the height from which the pendulum starts).

A point mass m1 = 1.3 kg is attached to a massless rod with length L, so that together they form a simple pendulum. The pendulum is initially kept still in the horizontal position (A in the figure). On the surface below (B in the figure) lies a block at rest with mass m2 = 0.80 kg. This surface is frictionless between B and C, while there is friction between C and D (see figure). The distance between C and D is 0.30m. The air resistance is negligible in this task. The acceleration of gravity is given at g = 9.81 m / s. The pendulum is now released so that it swings down. Immediately before m1 collides with m2, m1 has a velocity of 3.8 m / s. i) Draw a free-body diagram for m1 in the downswing as the angle between the pendulum and the vertical is 45◦. ii) Use the conservation of mechanical energy to find the length L of the pendulum (note that L is equal to the height from which the pendulum starts).

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A point mass m1 = 1.3 kg is attached to a massless rod with length L, so that together they form a simple pendulum. The pendulum is initially kept still in the horizontal position (A in the figure). On the surface below (B in the figure) lies a block at rest with mass m2 = 0.80 kg. This surface is frictionless between B and C, while there is friction between C and D (see figure). The distance between C and D is 0.30m. The air resistance is negligible in this task. The acceleration of gravity is given at g = 9.81 m / s.

The pendulum is now released so that it swings down. Immediately before m1 collides with m2, m1 has a velocity of 3.8 m / s.

  1. i) Draw a free-body diagram for m1 in the downswing as the angle between the pendulum and the vertical is 45◦.
  2. ii) Use the conservation of mechanical energy to find the length L of the pendulum (note that L is equal to the height from which the pendulum starts).
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