PHYS113_homework#1 - f s is the friction force N g is the...

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Department of Physics and Astronomy University of Canterbury PHYS113-08S2 Homework #1, 2008 Attempt all questions in writing before you come to the tutorial. All problems will be discussed with your tutor in group sessions in the tutorials. Hand in your written work to receive credit for the homework. 1. The figure shows a ladder of uniform mass per unit length leaning against a smooth (frictionless) vertical wall. At ground level the bottom of the ladder (point O) is at a distance a from the wall. The top of the ladder is at a distance h above the ground. The ladder’s length is L and its mass is m . A man of mass M stands on the ladder a fraction β of the way up. The ground is rough, so there is friction between it and the ladder at point O. The coefficient of static friction is μ. Annotate the diagram above to show the points on the ladder at which all five forces on the ladder act, and to show the directions of these forces. (Use the notation that
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Unformatted text preview: f s is the friction force, N g is the normal force with the ground and N w the normal force with the wall.) 2. A small ball rolls horizontally off the edge of a tabletop that is 1.20 m high. It strikes the floor at a point 1.52 m horizontally from the table edge. (a) How long is the ball in the air? (b) What is its speed at the instant it leaves the table? O man, mass M ladder, mass m wall a h β L 3. A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 6.0 N and a vertical force P are then applied to the block. The coefficients of friction for the block and surface are μ s =0.40 and μ k = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of P is (a) 8.0 N, (b) 10 N and (c) 12 N. 4. A block of mass m = 2.0 kg is dropped from height h = 40 cm onto a spring of spring constant k = 1960 N/m. Find the maximum displacement that the spring is compressed....
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PHYS113_homework#1 - f s is the friction force N g is the...

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