While driving his motorcycle at highway speed, a physics student notices that pulling back lightly on the right handlebar tips the cycle to the left and produces a left turn. Explain why this happens.

A turn table starts from rest and reaches 11 rad/s of angular velocity in 9.0 s. Find the total angle it turned during the time in rad. Hint: use rotational kinematics formula. Assume initial angle and initial angular velocity as zero.   Your Answer:

What is the angular acceleration and how long will it take to decrease rotational speed by 27 rad/s?

In a common design for a gyroscope, the flywheel and flywheel axis are enclosed in a light, spherical frame with the flywheel at the center of the frame. The gyroscope is then balanced on top of a pivot so that the flywheel is directly above the pivot. Does the gyroscope precess if it is released while the flywheel is spinning? Explain.

A car is undergoing an emissions test. The car is stationary on rollers while the gas pedal is depressed until the speedometer reads 60 km/h. The wheels are 54 cm in diameter. Find their angular speed.

A uniform horizontal disk of radius 5.50 m turns without friction at w = 2.30 rev/s on a vertical axis through its center, as in the figure below. A feedback mechanism senses the angular speed of the disk, and a drive motor at A ensures that the angular speed remain constant while a m = 1.20 kg block on top of the disk slides outward in a radial slot. The block starts at the center of the disk at time t = 0 and moves outward with constant speed v = 1.25 cm/s relative to the disk until it reaches the edge at t = 465 s. The sliding block experiences no friction. Its motion is constrained to have constant radial speed by a brake at B, producing tension in a light string tied to the block. (a) Find the torque as a function of time that the drive motor must provide while the block is sliding. Hint: The torque is given by = 2mrvw. t N-m (b) Find the value of this torque at t= 465 s, just before the sliding block finishes its motion. N.m 2.52 (c) Find the power which the drive motor must…

The tires on a car have a diameter of 0.70 m. If the car moves in a straight line with a speed of 25.2 km/h through a level parking lot, what is the angular speed of the tires?

Consider the 15.0 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of R1 = 0.280 m and an outer radius of R2 = 0.480 m. The motorcycle is on its center stand, so that the wheel can spin freely. a)If the drive chain exerts a force of 2450 N at a radius of 5.00 cm, what is the angular acceleration of the wheel in rad/s2? _____rad/s2   (b)What is the tangential acceleration, in m/s2, of a point on the outer edge of the tire? ______m/s2   (c)How long in seconds, starting from rest, does it take to reach an angular velocity of 80.0 rad/s? _______s