By J. S. Marshall, E. R. Pounder, R. W. Stewart (auth.)
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Extra info for Physics
Find the volume of the sphere, the per cent possible error, and the possible error. S. A car travels with a tmiform velocity in a straight line. The car covers a distance of 60S miles ± 2 miles in 15 h 15 min ± 2 min. Find the velocity, the per cent possible error, and the possible error. 9. 02 kg. Find the density (mass/volume), the per cent possible error, and the possible error. 10. 02F. Find the temperature variation, the per cent possible error, and the possible error. PROBLEMS 25 11. 2 lb of sodium nitrate in stock.
03. Polygon of Vectors. The method of the triangle of vectors can be extended to any number of vectors, the resultant figure being a polygon. 04, where P, Q, R, and S are vectors acting on a body. , on is the resultant of P, Q, R, and S. Clearly there is no need to draw the dotted lines OB, 00 to find the resultant vector. Exactly the same principles can be used in three dimensions. 04 represents a three-dimensional situation. * Of course, we can put the shoe on the other foot and define a vector as an entity which behaves in this way under addition.
Draw K Y parallel to OX. , parallel to OK to cut KY. Join KINEMATICS 48 OL, OM, ON, OP, etc. ; for example, for v = ON v = ON = OC + CN = 3a + OK = 3a + = u + 3a u A similar process can be used to solve the equation d = ut + iat2 , only in this case it is a displacement diagram that is being drawn rather than a velocity diagram. Choose scale as (say) 1 cm = 2 m. Draw O'X' in direction of acceleration and O'K' in direction of u. Calculate magnitudes of ut and tat 2 for various values of t and plot these values to scale along O'X' and O'K'.