5. The term... means the study of pressure exerted by a fluid at rest (a) hydrostatics (b) fluid mechanics (c) continuum (d) kinetics.

3.16 The volume of a torus (* donut " shaped, Fig. P3.16) is V = 2n²Rr². (a) Determine the equation for the variation AV in the volume due to a change AR in R and a change Ar in r. (h) The change in volume due to a change in Ar only is S Ar, where S is the surface area. Proceed to determine the equation for the surface area S. R Figure P3.16

In 1589, the Italian scientist Galileo Galilei is said to have dropped two spheres of different masses from the Leaning Tower of Pisa to demonstrate that their time of descent was independent of their mass. His experiment is faulty because he neglected: (i) The body force due to gravity. The surface force due to pressure. The surface force due to friction. (ii) (iii) (A) (B) (C) (D) (i) and (ii) (i) and (iii) (ii) and (iii) All of the above

A circular log floating in water is neutrally buoyant. Our ancestors found that by having half a log with semi-circular cross section and hollowing out the interior, it became stable so that they could use it to migrate across oceans. The reasons for it to become stable are: (i) (ii) (iii) (iv) It lowers the centre of gravity G so that it is below the centre of buoyancy B. It lowers the centre of gravity G so that it is below the metacentre M. It increases the metacentric radius BM. It enables the shifting of the centre of buoyancy B laterally to produce a restoring moment when it is tilted. (A) (B) (C) (D) (i) and (ii) (ii) and (iii) (iii) and (iv) (iv) and (i)

A turbine model has the following characteristics: Effective power: 13, 6 kW; Rotor Diameter: 0.38 meters, Flow: 0.34 ms, Energy Jump: 26.5 J / Kg and 3 R.P.S. rotation It is desired to construct a geometrically similar 1.20 meter diameter turbine that provides a power on the 656 kW axis, we ask: to calculate and justify its answers: a) the specific rotation; b) the unit quantities (rotation, flow and power); c) the rotation, flow and power of the model (bi-unit quantities).

: You are abducted by aliens and find yourself locked in a large room on some strangeplanet. To pass the time, you decide to do some experiments using a ball-and-chain thatyou find on the floor. You make the following estimates:mBALL  7 kg ,mCHAIN  0.5 kg, and CHAIN  2 m .(a) When you hold the free end of the chain above your head and allow the ball to swinglike a pendulum, you use your wristwatch to measure the period asT  4 s. What is theacceleration due to gravity on this planet?(b) If the ball accidentally hits a wall, how long does it take for this jolt in the chain totravel up to your hand?

6.2 In class we noted that the potential energy of a spring is given by Vsp (2) and k the spring constant. Now consider an object of mass m (not attached to the spring) that drops from rest, from a height z; > z0; onto the spring (which is initially in equilibrium at its rest length). Both the gravitational force and the spring force now contribute to the potential energy, initial final k(z – zo)²/2, where zo is the spring's equilibrium point E Zo Z=0 Vgrav Vgrav + Vsp if z z0 V (2) = (1) (a) Sketch (by hand, but carefully) a potential energy diagram for V(2) as a function of height z. (b) Include (and mark) the object's initial energy in the sketch of part (a), then include a horizontal line for the object's conserved total energy E. Also mark the turning point zf for z < zO. (c) Calculate the turning point position zf where the object momentarily comes to rest." (d) Your graph of part (a) should have an equilibrium point. Mark this equilibrium point in your graph, then calculate its…