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Dynamics

Free body diagrams and connected bodies

  • 3 things to know
  • AS Unit 1

Overview

Recall questions on Free body diagrams and connected bodies.

What you need to know

Answer each one before you reveal it.

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Key term

Why does a passenger in a lift whose cable has broken feel weightless?

Key term

What forces belong on a free body diagram of an object, and what must be left off?

Key term

Why is the string in a connected-body problem usually taken to be light and inextensible?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What forces belong on a free body diagram of an object, and what must be left off?

    Model answer

    Only the forces acting on that one object are shown, each with its direction. The forces that the object itself exerts on other bodies are always left off.

  2. 2

    Why is the force a book exerts on a table left off the free body diagram of the book?

    Model answer

    That force acts on the table and not on the book, so it plays no part in the resultant force on the book or in the book's acceleration.

  3. 3

    Name the four forces acting on an aircraft in steady level flight and state how they are related.

    Model answer

    The four forces are weight, lift, thrust and drag. In steady level flight the lift equals the weight and the thrust equals the drag.

  4. 4

    A 70 kg passenger stands in a lift accelerating upwards at 1.5 m s⁻². Calculate the normal contact force from the floor, taking g as 9.81 m s⁻².

    Model answer

    The resultant upward force is N − mg = ma, so N = 70 × (9.81 + 1.5) = 792 N.

  5. 5

    A 70 kg passenger stands in a lift accelerating downwards at 1.5 m s⁻². Calculate the normal contact force from the floor, taking g as 9.81 m s⁻².

    Model answer

    The resultant downward force is mg − N = ma, so N = 70 × (9.81 − 1.5) = 582 N.

  6. 6

    Why does a passenger in a lift whose cable has broken feel weightless?

    Model answer

    The lift and the passenger fall with the same acceleration, so the floor no longer needs to push on the passenger at all and the contact force falls to zero. The passenger's weight is unchanged throughout.

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