The horizontal uniform rod shown has length 0.60m and mass 2.0kg. The left end of the rod is attached to a vertical support by a friction less hinge that allows the rod to swing up or down. The right end of the rod is supported by a cord that makes an angle of 30° with the rod. A spring scale of negligible mass measures the tension in the cord. A 0.50 kg block is also attached to the right end of the rod. The block is removed from the rod, then the cord that supports the rod is cut allowing the rod to rotate about the hinge. A) Is the initial (linear) acceleration of the center of mass of the rod about the hinge equal to g, greater than g, or Less than g. Justify your answer (the rotational inertia of the rod with the axis at the hinge is 1/3mL^2). Hinge 2.0 kg Spring scale 30 ; 0,60 m 0.50 kg

The horizontal uniform rod shown has length 0.60m and mass 2.0kg. The left end of the rod is attached to a vertical support by a friction less hinge that allows the rod to swing up or down. The right end of the rod is supported by a cord that makes an angle of 30° with the rod. A spring scale of negligible mass measures the tension in the cord. A 0.50 kg block is also attached to the right end of the rod. The block is removed from the rod, then the cord that supports the rod is cut allowing the rod to rotate about the hinge. A) Is the initial (linear) acceleration of the center of mass of the rod about the hinge equal to g, greater than g, or Less than g. Justify your answer (the rotational inertia of the rod with the axis at the hinge is 1/3mL^2). Hinge 2.0 kg Spring scale 30 ; 0,60 m 0.50 kg

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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Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

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The horizontal uniform rod shown has length 0.60m and mass
2.0kg. The left end of the rod is attached to a vertical support by a
friction less hinge that allows the rod to swing up or down. The
right end of the rod is supported by a cord that makes an angle of
30° with the rod. A spring scale of negligible mass measures the
tension in the cord. A 0.50 kg block is also attached to the right
end of the rod.
The block is removed from the rod, then the cord that supports the
rod is cut allowing the rod to rotate about the hinge. A) Is the
initial (linear) acceleration of the center of mass of the rod about
the hinge equal to g, greater than g, or Less than g. Justify your
answer (the rotational inertia of the rod with the axis at the hinge
is 1/3mL^2).
Hinge
2.0 kg
Spring scale
30º
0,60 m
0.50 kg

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Step 1: Calculation of the torque on the rod:

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Step 2: Calculation of the angular acceleration:

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Step 3: The linear acceleration of center of mass of the rod about the hinge:

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