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Trajectory of a particle. A particle moves in a two-dimensional orbit defined byx(t) = ro0[1 + cos(omegat)] (1)y(t) = ro0[2 + sin(omegat)] (2)
(a) Sketch the trajectory. Find the velocity and acceleration (as vectors, and also their magnitudes), and draw the corresponding velocity and acceleration vectors along various points of your trajectory. Discuss the results physically - can you relate your finding to what you know from previous courses? Finally: what would you have to change if you want the motion to go the other way around?(c) Prove (in general, not just for the above situation) that if velocity, v(t), of any particle has constant magnitude, then its acceleration is orthogonal to v(t). Is this result valid/relevant for the trajectory discussed in part a?Hint There’s a nice trick here - consider the time derivative of |v(t)|^2=v.v
If B (magnetic) field is decreasing into the plane and a circular coil is on the plane, what is the direction of induced current flow through the coil
A skateboarder shoots off a ramp with a velocity of 6.4 m/s, directed at an angle of 55° above horizontal.
A 60.0 cm long organ pipe is filled with air and is open at both ends. What is the wavelength of the fundamental frequency
Jupiter is 23.10 m/s2. What is the ratio of your speed on Jupiter to your speed on Earth when you have dropped 45.0 m? Overlook the effects of air resistance and suppose that you start at rest.
A 1128 kg car and a 2210 kg pickup truck approach a curve on the expressway that has a radius of 272 m. A) At what angle should the highway engineer bank this curve so that vehicles traveling at 72.9 can safely round it regardless of the condition..
A uniform bar is 5.00 m long and weighs 975 N. A weight of 255 N is attached to one end while a weight of 375 N is attached 1.50 m from the other end. Find the tension in the cable
What is the final speed of the crate after being pulled. On a very muddy football field, a 100 linebacker tackles an 80 halfback. Immediately before the collision, linebacker is slipping with a velocity of 8.5 north and the halfback is sliding with..
A 10,000 kg empty railroad car moving at 3 m/s collides with a loaded railroad car weighing 196,000 N and couples with it
q1. a machinist starts with three identical square plates but cuts one corner from one of them two corners from the
An electric motor rotating a workshop grinding wheel at a rate of 1.13 102 rev/min is switched off. How long does it take for the grinding wheel to stop
Two charged Ping-Pong balls separated by the distance of 1.62 m exert an electric force of 0.0234N on each other. What will be the force if the objects are brought closer, to a separation of only 31.4 cm.
The 87?F capacitor in a defibrillator unit supplies an average of 6500 W of power, To what voltage is the capacitor charged
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