Motion In A Plane Flashcards
Relative velocity of
A respect to B
B respect to A
formula
VAB=VA-VB
VBA=VB-VA
Equations of motion in 2d
V= u + at
S= ut + 1/2 at^2
V^2 = u^2+ 2aS
Position components (displacement (S))
S= ut + 1/2 at^2
Sx=u_x t + 1/2 a_x t^2
Sy=u_y t + 1/2 a_y t^2
Velocity components (V)
V = u + at
Vx = u_x + a_x t
Vy = u_y + a_y t
Time of flight in projectile formula
T_f = 2 u sinθ/g
Final velocity
V^2= u^2 + 2aS
V_x^2 = u_x^2 + 2 a_x S_x
V_y^2 = u_y^2 + 2 a_y S_y
Equation of trajectory
y = (tanθ) x - 1/2 (g/u^2 cos^2 θ) x^2
Range in projectile motion formula
R = u^2 sin2θ/g
Max Height formula in projectile motion
H = u^2 sin^2 θ/ 2g
Angular speed formula
Omega
w = 2π/T
w = 2πn or 2πf ( in relation with frequency)
Expressions for acceleration
a = ∆v/∆t
a = v^2/r (centripetal/radial acceleration)
a = r w^2 ( in terms of angular velocity)
a = v w
a = F/m (newton 2nd law)
Expressions for force
F = ma (newton2nd law)
F = mv^2 /r (C.F)
F = m r w^2 (C.F but with angular velocity)
F = m v w
Expression for v
V = d/t
V = u +at
V = r w
Maximum Height formula in free fall
H = 1/2 gt^2
Maximum height in vertical motion
H = u^2/2g
Height at any point in projectile motion
H = y = ut sinθ - 1/2 gt^2
Height formula for total time taken to reach maximum height
t = u/g
Time period formula of conical pendulum
T = 2π √Lcosθ/g
T = 2π √h/g
Frequency of conical pendulum formula
n = 1/2π √g/Lcosθ
Centripetal froce formula
M v^2/r
Centripetal acceleration
a = v^2/r (also called radial acceleration)
Centripetal acceleration using angular speed
a = r w^2
