Reference no: EM132823863

Problem 1:

Three forces, F1, F2 and F3 are acting the pin in the Figure 1.
a) Using the "Parallelogram Method" of vector addition, determine the magnitude of the resultant force acting on the pin and its direction measured clockwise from the positive x-axis.
b) Comments on how F3 must be changed to make no resultant force on the pin keeping F1 and F2 are the same.

Problem 2:

A 330 kg piano (Figure 2) slides 3.6 m down a 28o incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. The effective coefficient of kinetic friction is 0.40.
a) Draw the free body diagram of the piano
b) Calculate the work done by the man on the piano,
c) Calculate the work done by the friction force,
d) Using Newton's law of Motion, comments on the net work done on the piano.

Problem 3:

The 9 kg block (Figure 3) is moving to the right with a velocity of 0.6 m/s on a horizontal surface when a force P (Figure 4) is applied to it at time t = 0.

a) Draw the free body diagram of the block
b) Using impulse momentum equation, calculate the velocity v of the block when t = 0.4
s. The kinetic coefficient of friction is µk = 0.3.

Problem 4:

A hammer of mass 8.00 kg is attached with one end of a thin, light rod (Figure 1). A thrower accelerates the hammer from rest within four full turns (revolutions) and releases it at a speed of 21.0 m/s. Assuming a uniform rate of increase in angular velocity and a horizontal circular path of radius 1.20 m, calculate

a) the angular acceleration,
b) the tangential acceleration,
c) the centripetal acceleration just before release,
d) the net force being exerted on the hammer by the athlete just before release, and
e) the angle of this force with respect to the radius of the circular path.

Problem 5:
Even when shut down after a period of normal use, a large commercial nuclear reactor transfers thermal energy at the rate of 150 MW by the radioactive decay of fission products. This heat transfer causes a rapid increase in temperature if the cooling system fails. [Properties of steel vessel: cp=470 J/kg.oC, melting point=1430 oC and Lf=270 kJ/kg]
a) Calculate the rate of temperature increase in degrees Celsius per second (ºC/s) if the mass of the reactor core is 1.60×105 kg and it has an average specific heat of 0.3349 kJ/kgº C.
b) How long would it take to obtain a temperature increase of 200ºC?
c) Considering the same rate of thermal energy transfer (150 MW) to the steel containment vessel, how long it will take to melt 1.00% of the steel vessel? (Assume, the initial temperature and mass of steel containment vessel are 300oC and 5×105 kg respectively.)
d) Make a graph of temperature versus time for the process in question (c).

Attachment:- Resultant force.rar