Blog

p7.png Two objects are connected by a rope over a massless, frictionless, pulley. The coefficient of kinetic friction  the surface and m2 is m = 2.5.   Assume m2 slides up the ramp, and determine the Tension in the string connecting the masses for m1 = 40.0 kg, m2 = 10.0 kg, and q = 30.00

p7.png Two objects are connected by a rope over a massless, frictionless, pulley. Take the surface m2 sits on as frictionless and determine the acceleration of the objects for m1 = 10 kg, m2 = 15 kg, and q = 300 Take the acceleration as positive if m1 falls and negative if m1 rises.

p5.png Two objects are connected by a rope over a massless, frictionless, pulley as shown.  Determine tension in the rope connecting the objects the objects for m1 = 8.0 kg, and m2 = 12.0 kg. 

p13.png The coefficient of kinetic friction between the surface and m2 is μ = 0.30.  Determine the acceleration of the masses for m1 = 15.0 kg and m2 = 10.0 kg.

A satellite of mass 500 kg undergoes a circular orbit of radius 8000 km and a constant speed of 7060 m/s.  What is the acceleration of the satellite?

A satellite of mass 500 kg undergoes a circular orbit of radius 8000 km and a constant speed of 7060 m/s.  What is the force on the satellite?

p4.png A way to simulate gravity in space is to shape the space station like a cylindrical shell that rotates, with the astronauts living on the inside surface as shown.  If the radius of the space station is 750 m, at what angular speed would it have to rotate so that the astronauts experience the same normal force standing on the station that they would on Earth?

Suppose for the same problem as in the previous question, the profit per unit produced of X and Y was 8 and 4 dollars, respectively.  The appropriate objective function for this would be:

Consider the following information for an item for which you must develop an inventory policy.  Annual demand:                         4000 units                                  Order cost:                                  $50 per order                            Per unit holding cost / year:      25% of unit purchase price    Per unit purchase cost:              $10.00 if order quantity < 1000 units                                                       $ 9.50 if 1000  5000 units If your supplier decided to stop offering the quantity discounts you see above, and just told you that all items would cost $10 each, your economic order quantity would be

p6(2).png If the radius of the loop is 50.0 m, what is the minimum speed the roller coaster can travel around the loop without falling off the track?  (The coaster leaves the track when the normal force on it equals zero.)