A deposit of P110,000 was made for 31days. The net interest after deducting 20% withholding tax is P890.36. Find the rate of return annually.

A satellite is launched from earth such that the booster burnout occurs at an altitude of 500km with a 
speed of 9.6km/s at an angle from the perpendicular from the orbit radius of β=15 degrees.
 Determine: a) the total orbit angular momentum per unit mass b) the total orbit energy per unit 
mass c) the orbital eccentricity e d) the maximum and minimum altitude, e) the maximum and minimum 
speed, f) the true anomalies  at booster burnout, minimum and maximum speeds, g) Is the orbit 
sustainable – explain. As the satellite passes apogee its rocket is fired to circularise the orbit. However 
the resultant speed was +4% off and β=2 degrees after the rocket is fired. h) If the satellite loses 20% of 
its 1tonne mass during rocket firing, how much does the firing change the orbit energy in J, i) What is the 
resultant orbit eccentricity.

The 20-kg slender rod is pinned at O. For the moment the cable attached at the

end A suddenly breaks, you are asked to

(a) provide forces (free body diagram) and motion analysis

(b) determine the acceleration of the end A

(c) find out the reaction at the pin support.