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Trigonometry and Algebra b Sin B Sin A Sinc For a right angle triangle, c = a + b2 For all triangles c? = a? + b2 - 2 a b Cos C Cos? + Sin e = 1 Differentiation d'ex"+c) = nax-1 Integration Sax"dx = 41 **** + c dx 1 -bt tac If a x2 + bx+c=0 then X Za Motion Force = mass x acceleration Potential Energy = mgh Kinetic Energy = 42 m 2 Work = Energy Power is rate of work Momentum = Mass x Velocity Impulse = Force x Time Acceleration due to gravity (9) = -9.8 ms? w=2 TTf = (2 TTT Moment of Inertia for a point mass, I =mr Moment of Inertia for disc, I mr? Moment of Inertia for a sphere, I = mr? Moment of Inertia for a rod pinned at one end I am I? Moment of Inertia for a rod pinned in the middle I = ml For a set of masses rotating on the same shaft, I = 1,+ 12+13+ 14 Acceleration due to gravity (g) = -9.8 ms?
Linear Angular S ө V w a a + da Q V = u + at w = W. + at v=u' + 2as w = wo" + 2a0 S = ut + zat? 0 = Wot + vat" S = 1 (+ v) = /2 (WoWt dv das d20 a dt dt2 dt dt2 Mass m Moment of Inertia I (kg m) F = ma (N) Torque T (Nm) = Fr= la E (Joules) = m v? E (Joules) = 1 w Momentum p = mv (kg m s L = I w (kg mº s*') p ) Power P (Watts) = Fv (N P (Watts) = T W (Nms') ms') Impulse = A (mv) = F At Δ( Ιω) = ΤΔt SHM Period is T = 2mJE for a a pendulum, or T = 21 for a mass spring system. kis the stiffness of a spring, or the force required to give unit extension. LET
Electricity VEIR Power = VI R = R1 + R2 + R3 1 + 1+1 R: R2 Ry R Capacitors Area > Permittivity C= Gap Size AQ = 1 At Q=VC C Charge Volts Energy = Work = QV Capacitor charging V = Vo(1 - ) TE Vo Theme Time Constant C= RC e RC R Waves v = fx The phase difference 0 = 2 y = A sin wt or y = A sin 27 ft y = A sin 201(f.t - )
5. Refer to the formulae, data and relationships booklet (open book exam) 6. You may use a calculator 7. You may use an English language dictionary | Fig. 1.1 shows how the speed of an object varies during a period of 30 s. 30 20 F Calculate the speed of the object at the start, time = 0 s. at the end, time = 30 b) Describe what, if anything. is happening to the speed during the period 10 s to 25 s. Determine the distance travelled in the last 5s. d) The total distance travelled during the 30 Sis 750 m. Calculate the average speed of the object during the 30 s. e) Calculate the area under curve up to the time. Explain what this 2 represents