Consider two-dimensional polar coordinates r(t) and (t). (a) Find e = ½ in terms of êr, ê, r, p, r, and þ. (b) Find the radial and tangential components of the acceleration. (c) Find the radial and tangential components of the jerk (time derivative of the acceleration).
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- Algebraic relation. Two particles, A and B, are in uniform circular motion about a common center. The acceleration of particle A is k times that of particle B and the speed of A is 3 times that of B. Find the numerical value of the ratio of their radii, A/B if [] k 9.4 B = 1.4 TA/TB = Please record your numerical answer below, assuming three significant figures.The position F of a particle moving in an xy plane is given by: F=(200*-5.002)i + (6.00–7.00*)} with F in meters and t in seconds. (Note that this is an example where the units for the coefficients are ignored – don't let this distract you!) In unit vector notation, calculate: а). г b). й с). а for time t= 2.00 s. %3D d). What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t= 2.00 s?The lift force on an airplane of mass 897 kg with speed v is given by c v2 (N), where c is some constant depending on the air density and wing geometry. The lift force points perpendicular to the wings of the plane, so that if the plane banks by, say 10 degrees, then the lift force turns 10 degrees from the vertical. Now suppose that the pilot of this plane wishes to complete a flat turn of radius 931 m with speed 104 m/s. How much should they bank the plane, in degrees? (Please answer to the fourth decimal place - i.e 14.3225)
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