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mo m2

mo m2

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Consider the system shown in the figure. Disk m, rolls without slip. a is defined as the displacement of mass mo and is positive to the left. When x displaces in a positive direction, it rotates the disk (with moment of inertia J1 and radius R) by an angle 01. Use 0, to denote the rotation of the mass m, (a disk with moment of inertia J, and radius r2). Assume small displacements (and hence small rotations). Use x as the coordinate to describe this system. mo m2 ww k Syntax Use J[1],J[2], k[1].r[1].r[2],m[2] for J1 ,J9,k1.r1.r2 and m2. Use m[0] (m with subscript as the number zero) for mo- How many degrees of freedom does this system have? The system has 2 degrees of freedom - from the disk and cart that are on the horizontal surface plus the rotating disk on the left. The system has 4 degrees of freedom: translation and roation of the first disk, rotation of the other disk and translation of mass mo- O None of the other responses are correct. O The system has 3 degrees of freedom because there are 3 separate masses; two disks and mass mo. Kinematics When mass mo moves by a distance z, the cylinder with moment of inertia J, rotates by 01 = When mass mn moves by a distance x, the cylinder with moment of inertia J,rotates by When mass mo moves by a distance x, the spring with stiffness k1 compresses by *k1
Transcribed Image Text:Consider the system shown in the figure. Disk m, rolls without slip. a is defined as the displacement of mass mo and is positive to the left. When x displaces in a positive direction, it rotates the disk (with moment of inertia J1 and radius R) by an angle 01. Use 0, to denote the rotation of the mass m, (a disk with moment of inertia J, and radius r2). Assume small displacements (and hence small rotations). Use x as the coordinate to describe this system. mo m2 ww k Syntax Use J[1],J[2], k[1].r[1].r[2],m[2] for J1 ,J9,k1.r1.r2 and m2. Use m[0] (m with subscript as the number zero) for mo- How many degrees of freedom does this system have? The system has 2 degrees of freedom - from the disk and cart that are on the horizontal surface plus the rotating disk on the left. The system has 4 degrees of freedom: translation and roation of the first disk, rotation of the other disk and translation of mass mo- O None of the other responses are correct. O The system has 3 degrees of freedom because there are 3 separate masses; two disks and mass mo. Kinematics When mass mo moves by a distance z, the cylinder with moment of inertia J, rotates by 01 = When mass mn moves by a distance x, the cylinder with moment of inertia J,rotates by When mass mo moves by a distance x, the spring with stiffness k1 compresses by *k1
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