Classical Mechanics Answers

Part 1. Water in the reservoir is used to control the water pressure in the pipe at A. If h = 200 mm, determine this pressure when the mercury is at the elevation shown. Take p_Hg = 13 550 kg/m³. Neglect the diameter of the pipe.

Part 2. The two tanks A and B are connected using a manometer. If waste oil is poured into tank A to a depth of h = 0.6 m, determine the pressure of the entrapped air in tank B. Air is also trapped in line CD as shown. Take p_o = 900 kg/m³ p_W = 1000 kg/m³.

Part 1. If the absolute pressure in a tank is 140 kPa, determine the pressure head in mm of mercury. the atmospheric pressure is 100 kPa.

Part 2. Oxygen in a tank has an absolute pressure of 130 kPa. Determine the pressure head in mm of mercury. The atmospheric pressure is 102 kPa.

Consider the following:

If two equal mass objects have the same net force acting on them, then they will be experiencing the same change in speed.

(a) Is this statement valid?

(b) If you contend the statement is valid, how do you know?

(c) If you contend the statement is invalid, what is wrong with it?

(d) If the statement is invalid, restate it to give a valid statement.

(e) Is the valid statement (original, or your revision) a conditional or bi-conditional? How do you know?

(f) Would the following investigation test, i.e. provide data to either support or contradict, the valid hypothesis (either the original or your revision), or will it fail to test the hypothesis? Explain.

A person runs a ski mobile on a frozen lake varying how the speed changes during the runs for 24 trials and measures the net force that acts on the ski mobile. Each time she finds if the speed changes there is net force.

What do you mean by eccentricity

Isaac applies a force of 40N at an angle of 60°up from the horizontal to a wooden rod using a spring scale.If he generatesa torque of 73 m.N,how long was the rod?

Calculate the minimum velocity with which water of coefficient of viscosity 0.001Nsm^-2 flows through a tube of radius 6×10^-4 m, without turbulence being produced.Reynolds number is 1000. Find the rate of flow of water through the tube at this velocity and the pressure is required to maintain it if the length of the tube is 0.2m

A pendulum of mass m and length b is attached to a massless support initially at rest and then moving with vertically upward acceleration a

( a) Determine the Lagrangian

( b) Find the equation of motion of the pendulum

Refer to the figure below

A 400 kg mass on 30∘ inclined plane is acted upon by a force equal to 4800 N at an angle 30∘ with the incline as shown in the figure below.

a) Find the acceleration of the mass if the incline is frictionless

b) Find the acceleration of the mass if the coefficient of fiction between the mass and inclined plane is μk=0.2 

For the system of two blocks on a frictionless double incline where the blocks are linked by an inextensible massless string over a frictionless pulley (see figure),

(a). Draw the free body diagram for m₁ and m₂.

(b). Express the equations of motion of the two blocks using Newton's Laws

(c). Prove that for the system to be in equilibrium

The bob of the pendulum is 200 g. It is swinging at a height of 1 m. The length of the pendulum is 1 m. Find the values of GPE, KE, and total mechanical energy at a height of 1 m, 0.5 m and 0.25 m and at its lowest point.