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A small mass is stuck to a point on the rim of a rolling wheel(radius of r) .. which traces out a path called a cycloid. The position vector of this point is given by r(theta)= r(theta - sin theta)i +r(1-cos theta)j. For a wheel rolling with constant angular speed, Determine the velocity vector, the acceleration vector and verify the magnitude of the acceleration vector.
A car traveling at a constant speed of 21.5 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.10 m/s2. How long does it take the ..
An automobile accelerates from rest for 20s with a constant acceleration of 1.5 m/s^2. What is its final velocity? How far does it travel in that time
Two kids of masses 45 kg and 30 kg sit on the opposite sides of a seesaw. The 45 kg kid sits in the left at a distance of 54 cm from a frictionless axle. determine The force that the axle must exert
The switch in a series RL circuit in which R = 5.60 ?, L = 2.10 H, and ?V = 24.2 V is closed at t = 0.0 s. What is the maximum current in the circuit? What is the current when t = 0.375 s?
A 2000-kg horizontal beam is supported at each end. A 160-kg load rests a quarter of the way from one end if the beam and 120 kg cargo is 1/3 from the other end. What is the vertical force on each of the supports.
A solid disk rotates in the horizontal plane at an angular velocity of 0.049 rad/s with respect to an axis perpendicular to the disk at its center. what is the angular velocity of the disk
A green photon ( = 551 nm) is absorbed by a free hydrogen atom, initially at rest. What is the recoil speed of the hydrogen atom
When the switch was first closed to charge the capacitor, what was the effective resistance of the capacitor when it was fully charged
Calculate the torque required to accelerate the Earth in3days from rest to its present angular speed about its axis. Calculate the average power required
A 180-turn circular coil has diameter 5.35cm and resistance 1.25?. obtain the induced current in the coil
draw a motion diagram, using the particle model, showing the cars velocity vectors as seen from a helicopter hovering over the highway.
An athlete crosses a 28 m wide river by swimming perpendicular to the water current at a speed of 0.8 m/s relative to the water. What is the speed of the swimmer with respect to a friend at rest on the ground
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