M M Axis 28 Fig. 2 Question 2: Two identical spheres, each of mass M=100g and negligible radius, are fastened to opposite ends of a magnetic rod of negligible mass and length 10m. This system is initially at rest with the rod horizontal, as shown in fig.2, and is free to rotate about a frictionless, horizontal axis through the center of the rod and perpendicular to the plane of the page. A bird, of mass 3M, lands gently on the sphere on the left. Determine the torque about (a) the axis immediately after the bird lands on the sphere. (b) the bird lands. Determine the angular acceleration of the rod-spheres-birds system immediately after (c) iron ball with mass 200g is thrown towards the road from top and when it reaches the rod with velocity 50m/s, sticks to it at midpoint between axis and the sphere on the left. Find the angular speed of the system. Consider the system is initially at rest with the rod horizontal, as shown in fig.2. A small

M M Axis 28 Fig. 2 Question 2: Two identical spheres, each of mass M=100g and negligible radius, are fastened to opposite ends of a magnetic rod of negligible mass and length 10m. This system is initially at rest with the rod horizontal, as shown in fig.2, and is free to rotate about a frictionless, horizontal axis through the center of the rod and perpendicular to the plane of the page. A bird, of mass 3M, lands gently on the sphere on the left. Determine the torque about (a) the axis immediately after the bird lands on the sphere. (b) the bird lands. Determine the angular acceleration of the rod-spheres-birds system immediately after (c) iron ball with mass 200g is thrown towards the road from top and when it reaches the rod with velocity 50m/s, sticks to it at midpoint between axis and the sphere on the left. Find the angular speed of the system. Consider the system is initially at rest with the rod horizontal, as shown in fig.2. A small

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

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#5 A-D
A student sits on a rotating stool holding two 3.0 kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation, and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg•m and is assumed to be constant. The student then pulls the objects horizontally to 0.50 m from the rotation axis. (a) Find the new angular speed of the student. 1.907 Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s (b) Find the kinetic energy of the student system before and after the objects are pulled in. before after
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A shaft with 3 metres span between two bearings carries two masses of 10 kg and 20 kg acting at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in which these masses rotate are 1.2 m and 2.4 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60°. The speed of rotation of the shaft is 200 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.3 m and placed at 0.3 m from each bearing centres, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e. mass of 10 kg
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h2 G1 G2 L1 m2, k2 m1, k1 Fig Qa Fig Qb Two compound pendulums of lengths L1 and L2 are pivoted at a support and connected together through a horizontal spring of stiffness k as in Fig Qa. The masses and radii of gyration of the pendulums about the centres of mass (G1 and G2) are ml & m2 and kl & k2 respectively. The centres of mass are at distances hl and h2 respectively whilst the spring is distance I from the pivots as shown. The pendulums are set into motion by small displacements xl and x2 opening up small angles 01 and 02 respectively as in Fig Qb. 4.1 Find the equations of motion of the two pendulums. 4.2 Also determine the natural frequencies of the vibration of the pendulums if mi = 10 kg. m2 = 8 kg, kı = 0.433 m, k2. = 0.3464 m, L1= 1.2 m, L2. = 1.0 m, hı= 0.6 m, h.. = 0.5 m, 1=0.8 m, and k=2000 N/m.
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CEE 241: Statics University of Nevada, Las Vegas Image copyright © Pearson Education, Inc. Shared with current students using accompanying text by the instructor solely for the purpose of teaching the course and assessing student learning. You should not distribute this document to anyone. The mass of cylinder C is given. Find the mass of cylinder A to maintain equilibrium. Answer: mA = 20 kg D Page 1 / 1 E 130° - C Q+ B 40 kg