Classical Mechanics Answers

A bar 2 m long makes an angle of 30° with the horizontal. A force of 40 is applied 0.4 m from the upper end. Calculate the torque due to this a force about each end.

Two men are carrying on their shoulders a 500-N load suspended from a piece of bamboo 3m long with each man positioned at the ends. If the load is suspended 1m from one end find the load carried by each.

A rope attached on one end to a vertical wall(forming a 50° angle) helps to support a uniform 800-N beam 7m long the lower end of which is hinged at the same vertical wall (forming a 60° angle) while the other end supports a 1-ton load. Together, the rope, the wall and the beam forms a 50°+60°+70° triangle that points to the right.

Determine tension T in the rope.

Let's assume a rigid body of mass "m" has a velocity(ai^+bj^) in two dimensional plane and is now at the position (x1,y1) . It is experiencing a constant force "F" towards the origin(0,0).

What are the conditions for the body to orbit the origin?

6. The average speed of a nitrogen molecule in air is about

6.70 1 102 m/s, and its mass is 4.68 1 10#26 kg. (a) If it

takes 3.00 1 10#13 s for a nitrogen molecule to hit a wall

and rebound with the same speed but moving in the op-

posite direction, what is the average acceleration of the

molecule during this time interval? (b) What average

force does the molecule exert on the wall?

The load was lifted to a height of 1.5 m by a pulley. How far was the free end of the rope pulled to lift that load?

A block of mass m (initially at rest) is dropped from a height h landing onto a spring with spring/force constant k. Determine the maximum distance y that the spring will be compressed?

A ball is thrown at time t = t0 vertically upwards with the speed u. The air resistance can be neglected.  

1. What is the average velocity of the ball, in size and direction, from time t0 until the ball reaches its highest point?
2. What is the mean velocity of the ball, in size and direction, from the time t0 until the ball returns to the height from which it was thrown?

The air in a hot air balloon has been heated to 100 degrees Celsius, and has the same pressure as the air. The balloon is approximately spherical, with a radius of 10 m. How much weight (including the balloon and its basket) can the balloon lift? The answer can be rounded to the nearest ten power.

Consider a simple harmonic oscillator consisting of a one kilogram mass m on a spring with spring/force constant k and length L`. If the mass of the spring m_s is 9% of the attached mass, and k = 66 N/m, and if we determined the attached body is displaced 3 cm and given a downward velocity of 0.4 m/s - calculate ,→ the frequency ω of the motion, and the amplitude A of the motion