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a. A simple sliding bearing with hard steel surfaces supports a hard steel block of mass 775 kg. Estimate, giving clear justification of any assumptions that you have made:
i. the horizontal force that would be required to initiate sliding under the three frictional conditions given in Table 3.1 of Block 4
ii. The work done in displacing the mass a distance of 7.5 m when no lubrication is used. In no more than 200 words state, with reasons, whether or not you would be able to provide such a force on your own under any of the frictional conditions.
b. A block is sitting on a plane inclined at angle straight theta, small theta. It is on the point of slipping down the plane, i.e. the friction available isn’t enough to stop it. Assuming that the coefficient of friction between the surfaces is small mu (neglecting any difference between the values for static and dynamic conditions), show that the angle of the slope and friction are related by the expression small mu = tan straight theta, small theta.
c. On a wet day, a car is having trouble ascending a steel on-ramp to a ferry. The angle of the ramp is 15° and the coefficient of friction between the tyres and wet ramp is 0.2. Determine if the car can get up at all, and if not, by how much, to the nearest degree, the angle would have to be reduced by so the car can board the ferry.
