A wheel is rotating about an axis that is in the z-direction. The angular velocity is at , increases linearly with time and is at . We have taken counterclockwise rotation to be positive. Is the angular acceleration during this time interval positive or negative? During what time interval is the speed of the wheel increasing? During what time interval is the speed of the wheel decreasing? What is the angular displacement of the wheel at 7 seconds? Please use all the formulas and show work in step by step processes with detailed information.

## How far from the launch point does the projectile hit groundProjectile is fired with launch angle of 60.0 degrees with a speed of 100.0 m/s at t = 0. (assume no air friction), How far from the launch point does the projectile hit the ground |

## What is the moment of inertia of the hammerThe 6.275 kg sledge hammer shown on the right has a small hole drilled at point "P" and a metal rod is inserted to act as a low-friction pivot. When the hammer is displaced slightly and allowed to swing from the pivot, its period of oscillation is .. |

## What is the tension and the mass of the cylinderA light string is wrapped around a solid cylinder and a 200 g mass hangs from the free end of the string, what is the tension and the mass of the cylinder |

## Find its kinetic energy at the low pointAt the low point in it swing, a pendulum bob with a mass of 0.46 kg has a velocity of 2.2 m/s. What is its kinetic energy at the low point |

## Two events occur in an inertial systemTwo events occur in an inertial system K as follows: Event 1: x1 = a t1 = 2a/c y1 = 0 z1 = 0 Event 2: x2 = 2a t2 = 3a/2c y2 = 0 z2 = 0 In what frame K’ will these events appear to be simultaneous? Is there a frame K’ in which the two events described.. |

## What are the tensions in cablesA diving board of length 3{rm m} is supported at a point 1 {rm m} from the end, and a diver weighing 550 {rm N} stands at the free end. The diving board is of uniform cross section and weighs 295 {rm N}. Find out the magnitude of the force at the .. |

## Find the total negative charge of all the electronsWhat is the total negative charge, in coulombs, of all the electrons in a small 1.05 gram sphere of carbon? One mole of carbon is 12 grams |

## Expression of the electric filedStart from the expression of the electric filed outside an infinite sheet of uniform surface charge density, E=sigma/2epsilon, derive the electric field |

## Calculate the force of friction that the driveway exertsA house painter stands 3 m above the ground on a 4.9-m-long ladder that leans against the wall at a point 4.7 m above the ground. find the force of friction that the driveway exerts on the bottom of the ladder |

## What is the work done by kinetic frictionA 42.0 kg seal at an amusement park slides from rest down a ramp into the pool below. If the seal reaches the water with a speed of 4.30 m/s, what is the work done by kinetic friction |

## What is the separation between the two atomsWhat is the separation between the two atoms in this molecule if we model them as point masses? The mass of hydrogen is 1.67* 10^-27 kg and nitrogen is 2.33*10^-26 kg |

## Compute moment of inertia of wheel about the rotation axisAn experimental bicycle wheel is placed on a test stand so that it is free to turn on its axle. If a constant net torque of 6.00 N · m is applied to the tire for 5.00 s, the angular speed of the tire increases from 0 to 100 rev/min. The external t.. |

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