A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 19.5 kg m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is 5.00 105 kg m2. Neither the spacecraft nor the gyroscope is originally rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 145 rad/s. If the orientation of the spacecraft is to be changed by 30.0 , for what time interval should the gyroscope...

What should be the spring constant k of a spring designed to bring a 1500kg car to rest from a speed of 80 m/s so that the occupants undergo a maximum acceleration of 5.0g ?

An electron is at rest just above the surface of a sphere with a radius of 2.6 and a uniformly distributed positive charge of 2.2 10 15 . Like a rocket blasting off from the Earth, the electron is given an initial speed radially outward from the sphere.

A NC drill press is to perform a series of through-hole drilling operations on a 1.75 in thick aluminum plate that is a component in a heat exchanger. Each hole is 3/4 in diameter. There are 100 holes in all, arranged in a 10 by 10 matrix pattern, and the distance between adjacent hole centers (along the square) = 1.5 in. The cutting speed = 300 ft/min, the penetration feed (z-direction) = 0.015 in/rev, and the feed rate between holes (x-y plane) = 15.0 in/min. Assume that x-y moves are...

A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 17.0 kg m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is 5.00 105 kg m2. Neither the spacecraft nor the gyroscope is originally rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 120 rad/s. If the orientation of the spacecraft is to be changed by 30.0 , for what time interval should the gyroscope be...

Rod OA rotates counterclockwise with a constant angular velocity of 5 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other slides over the horizontal curved rod, of which the shape is described by the equation r = 1.5(2 - cosq) ft. If both collars weight 0.75 lb, determine the normal force which the curved rod exerts on one collar at the instant = 120o. Neglect friction.

Marks: 1 A 10-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 0.80 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P = 80 N) acting parallel to the surface is applied to the block, as shown. What is the speed of the block when it is 13 cm from its equilibrium position?

A car of mass accelerates from speed to speed while going up a slope that makes an angle with the horizontal. The coefficient of static friction is , and the acceleration due to gravity is . Find the total work done on the car by the external forces.

the laws of refraction and reflection are the same for sound and for light. the speed of sound is 340 m/s in air and 1510 m/s in water. if a sound wave that is traveling in air approaches a flat water surface with an angle of incidence of 12.0, what is the angle of refraction?

A disk with a diameter of 0.09 m is spinning about an axle perpendicular to the disk and running through its center. a) How many revolutions per second would it have to rotate in order that the acceleration of the outer edge of the disk be 17 g's (i.e., 17 times the gravitational acceleration g)? b) For the frequency determined in part (a), what is the speed of a point half way between the axis of rotation and the edge of the disk? c) At this same frequency, what is the period of rotation...

A small ball rolls around a horizontal circle at height y inside a frictionless hemispherical bowl of radius. Find an expression for the ball's angular velocity in terms of R, y and g. What is the minimum value of for which the ball can move in a circle? Express your answer in terms of the variables R, y, and appropriate constants

A racing car travels in a circular track of radius 250 m. lf the car moves with a constant linear speed of 45.0 m/s; find (a) its angular speed and (b) the magnitude and direction of its acceleration.

stationary railroad whistle is sounded. An echo is heard 5.0 seconds later by the train s engineer. If the speed of sound is 343 m/s, how far away is the reflecting surface?"

Water flows at a speed of 1.7m/s through a horizontal pipe having a circular cross section 5 cm in diameter. The pipe widens to a diameter of 14cm. Treat the water as an idea fluid. (A) What is the speed with which the water flows through the wider section of the pipe? (B) What is the difference in pressure between a point within the fluid in the narrower section and a point within the fluid in the wider section? (C) In which section of the pipe is the pressure higher?

every day, a flight from Los Angles to Atlanta flies directly over my home at a constant altitude of 4 miles. If i assume that the plane is flying at a constant speed of 400 mi/h, at what rate is the angle of elevation of my line of sight changing with respect to time when the horizontal distance between the approaching plane and my location is exactly 3 miles?

At time t=0 a grinding wheel has an angular velocity of 25.0 rad/s. It has a constant angular acceleration of 32.0 rad/s^2 until a circuit breaker trips at time t = 1.60 s. From then on, the wheel turns through an angle of 438 rad as it coasts to a stop at constant angular deceleration. What was the wheel's angular acceleration as it slowed down?