Text: Classical Mechanics, 2nd Ed. by T. L. Chow

• 1. Show that A x ( B x C) = B (A·C) – C (A·B) by writing out all 18 terms (6 terms for each of 3 components) on each side of the equation.
  
• 2. Show that grad (fg) = g grad f  + f grad g  .  (Write out all the terms on both sides.)  
• 3. A projectile is fired up a 12^o incline with an initial speed 250 m/s at an angle of 30^o above the horizontal. Work out how far it travels along the incline before landing, assuming no air resistance. 
• 4. Use the RK2 numerical integration scheme in Excel for a block sliding on a smooth spherical surface. The block is released from rest at an angle of 11.5^o to the vertical, and you are to find the angle at which it leaves the surface of the sphere.