Luke skywalker must swing Princess Leia across a chasm in order to escape the Storm Troopers. If Luke and Leia's combined mass is 145 kg, calculate the tension in the rope just before Luke and Leia start their swing, when the pair makes an angle of 30.0 with the vertical

Two particles of masses m and 2m are placed on a smooth horizontal table. a string, which joins these two masses, hangs over the edge supporting a pulley, which suspends a particle of mass 3m.the pulley has negligible mass. the two parts of the string on the table are parallel and perpendicular to the edge of the table. the hanging parts of the string are vertical. find the acceleration of the particle of mass 3m.

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

Why do astronauts in the space shuttle weigh less?