o Part I: The two wheels shown rotate about a fixed axle through their center the...
Part I: The two wheels shown rotate about a fixed axle through their center (the masses and radii of the wheels are as shown in the diagram). The two wheels are initially at rest. A 1 N of force is applied to each wheel as shown. You can assume that the wheels are essentially hoops (Inoop = MR2). In order for F.l=1N IF= 1 N the angular accelerations of the two wheels to be the same, at what angle must...
Part I: The two wheels shown rotate about a fixed axle through their center (the masses and radii of the wheels are as shown in the diagram). The two wheels are initially at rest. A 1 N of force is applied to each wheel as shown. You can assume that the wheels are essentially hoops (Inoop = MR2). In order for IF I = 1N IF I = 1 N the angular accelerations of the two wheels to be the...
Part I: The two wheels shown rotate about a fixed axle through their center (the masses and radii of the wheels are as shown in the diagram). The two wheels are initially at rest. A 1 N of force is applied to each wheel as shown. You can assume that the wheels are essentially hoops (Inoop = MR2). In order for F1 = 1N IF_1= 1 N the angular accelerations of the two wheels to be the same, at what...
An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.908 rad/s2. a) What is the moment of inertia of the wheel (in kg, m2)? b) What is the mass (in kg) of the wheel? c) The wheel starts from...
An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.968 rad/s2. (a) What is the moment of inertia of the wheel (in kg · m2)? ______kg · m2 (b) What is the mass (in kg) of the wheel? ________kg...
A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 0.896 rad/s2. (a) What is the moment of inertia of the wheel (in kg ·m2)? kg · m2 (b) What is the mass (in kg) of the wheel? kg...
Problem 10.30 A uniform 2 kg solid disk of radius R = 0.4 m is free to rotate on a frictionless horizontal axle through its center. The disk is initially at rest, and then a 10 g bullet traveling at 500 m/s is fired into it as shown in the figure below. If the bullet embeds itself in the disk at a vertical distance of 0.2 m above the axle, what will be the angular velocity of the disk? Express...
A wheel-axle assembly is attached to a spring as shown in the figure below. The wheel-axel assembly has a mass of m=3 kg and a radius of gyration about the polar axis of kG=75mm. The spring has a stiffness of k=0.5 kN/m ( Note the units!). The system is released from rest with a spring extension of x1=0.2 m. Calculate the maximum angular velocity. Assume friction can be ignored. Provide your answers in rad/s.
Part B.
The answer is 1.07 rad/s.
(12.2.20) In the diagram below, the upper cylinder has mass M1 = 3.00 kg and the lower cylinder has mass M2 = 2.00 kg. Their radii are a and 3a, where a = 10.0 cm, as shown. Initially M1 is rotating clockwise at 8.00 rad/s and M2 is rotating counterclockwise at 4.00 rad/s. They are both rotating about the same axis passing through the centers of the two cylinders. (a) M1 is dropped...