A model airplane with a mass of 0.757 kg is tethered by a wire so that it flies in a circle 29.2 m in radius. The airplane engine provides a net thrust of 0.809 N perpendicular to the tethering wire. Find the torque the net thrust produces about the center of the circle. Find the angular acceleration of the airplane when it is in level flight. Find the linear acceleration of the airplane tangent to its flight path.

The uniform disk of mass m is rotating with an angular velocity of v0 when it is placed on the floor. Determine the initial angular acceleration of the disk and the acceleration of its mass center. The coefficient of kinetic friction between the disk and the floor is μk.

Consider the setup shown below. The blocks have masses 3.6 kg and 24 kg. The pulley has mass 7.4 kg, and is a uniform disc with radius 0.23 m. Assume the pulley to be frictionless, but the coefficient of friction between the block and the surface is 0.36. What is the acceleration of the blocks? Assume the 24 kg mass is descending with acceleration a. The moment of inertia of the disk is 1/2MR2 and the acceleration of gravity is 9.8 m/s2.

A model airplane with mass 0.749 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.0 m in radius. The airplane engine provides a net thrust of 0.807 N perpendicular to the tethering wire. (a) Find the magnitude of the torque the net thrust produces about the center of the circle. N. m (b) Find the magnitude of the angular acceleration of the airplane. rad/s2 (c) Find the magnitude of the translational acceleration of the airplane tangent to its flight path. m/s2

The string is massless. The pulley turns on frictionless bearings. Consider the pulley as a uniform disk of mass 2.50 kg and radius 5.00 cm.The mass m1= 4.00 kg, and the mass m2= 5.00 kg. The system is released from rest. Find the tensions, T1& T2, in the horizontal and vertical portions of the string. The horizontal surface below m1 is smooth.

A turntable 46.0 cm in diameter diameter starts from rest, and rotates at 68.0 rpm at its first complete revoļution with constant angular acceleration. If it maintains the same acceleration, a) what is the rotational speed at time 34.0 seconds? b) what is the tangential speed of a point 10 cm from the edge of the turntable at time 34.0 seconds? Enter answer "O" in the answer box. Submit in the corresponding folder (or email) your solution by 3:50 pm, include a sketch/drawing of the rotating wheel, and a step- by-step solution.

Phoebe has a new bicycle. As soon as she brings it home she goes for a test ride. In 4 minutes she covers a distance of 480.0 m. Find the angular velocity of the front wheel of the bicycle during this short trip. Assume that she rides at a constant speed and that the diameter of the front wheel is 24 inches.  (1 inch = 2.54cm)

A uniform solid sphere of mass 6.0 kg and radius 10 cm is rolling without slipping along a horizontal surface with a speed of 4.9 m/s (this is the speed of the center of mass) when it starts up a ramp that makes an angle of 30° with the horizontal. 1st а) b) While the ball is moving up the ramp, find What is the maximum distance it can go up the ramp, measured along the surface of the ramp? 2nd? the acceleration (magnitude and direction) of its center of mass and i) ii) | 3rd 3] the friction force (magnitude and direction) acting on it due to the surface of the ramp. Moment of inertia of a solid sphere is I em =MR². ст

Consider the 13 kg motorcycle wheel shown in the figure. Assume it to be approximately a ring with an inner radius of 0.285 m and an outer radius of 0.325 m. The motorcycle is on its center stand, so that the wheel can spin freely. If the drive chain exerts a force of 2200 N at a radius of 4.95 cm, what is the angular acceleration of the wheel, in radians per square second?  What is the tangential acceleration, in meters per square second, of a point on the outer edge of the tire?   How long, in seconds, starting from rest, does it take to reach an angular velocity of 89.5 rad/s?

The string is massless. The pulley turns on frictionless bearings. Moment of Inertia of the pulley about its axis is 0.0125 kg.m2, its radiusR= 10.0 cm. The mass m1= 5.00 kg, and the mass m2= 4.00 kg. The system is released from rest. Find (a) the acceleration of m1 and (b) the tensions, T1& T2, in the horizontal and vertical portions of the string. The horizontal surface below m1 is smooth.