The solutions need to be well structured and the line of thought should be broug
ID: 1431543 • Letter: T
Question
The solutions need to be well structured and the line of thought should be brought into focus.
Calculations should include the necessary steps for the reader to follow the calculations. If a calculator or computer is used to solve an equation, integral etc. it should be made very clear, what equation (etc.) you are solving and what result(s) the machine gives.
Block on a Curved Path
A small block of mass m=2.0 kg slides on a circular path as shown on the figure. At the top at point B the speed is v_B=3.5 m/s.
2.1 Calculate the normal force NB on the block at the point B.
2.2 Calculate the maximum speed of the block at the point A without losing contact whit the path at this point.
301 = 2.4 mExplanation / Answer
2.1 ) normal force NB on the block = mg - mv2/r
= 2*9.8 - 2 * 3.5 * 3.5/2.4
= 19.6 - 10.208
= 9.392 N
2.2) maximum speed of the block at the point A
velocity at point B = sqrt(2.4 * 9.8)
= 4.85 m/sec
=> 1/2 * 2 *v2 = 2 * 9.8 * 2.4(1 - cos30) + 1/2 * 2 *4.852
=> v = 5.461 m/sec ------------------> maximum speed of the block at the point A