When a rigid body is suspended vertically and it oscillates with a small amplitude under the action of the force of gravity, the body is known as

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In order to find the radius of gyration of a car, it is suspended with its axis vertical from three parallel wires 2.5 metres long. The wires are attached to the rim at points spaced 120° apart and at equal distances 250 mm from the axis. It is found that the wheel makes 50 torsional oscillations of small amplitude about its axis in 170 seconds. Find the radius of gyration of the wheel.

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A connecting rod of mass 5.5 kg is placed on a horizontal platform whose mass is 1.5 kg. It is suspended by three equal wires, each 1.25 m long, from a rigid support. The wires are equally spaced round the circumference of a circle of 125 mm radius. When the c.g. of the connecting rod coincides with the axis of the circle, the platform makes 10 angular oscillations in 30 seconds. Determine the mass moment of inertia about an axis through its c.g.

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A helical spring, of negligible mass, and which is found to extend 0.25 mm under a mass of 1.5 kg, is made to support a mass of 60 kg. The spring and the mass system is displaced vertically through 12.5 mm and released. Find the velocity of the mass, when it is 5 mm below its rest position.

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When the body is twisted through a small angle θ about a vertical axis through the centre of gravity, which of the following motion will occur?

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When the body is suspended at the point of suspension, its periodic time and frequency will be _____________ as compared to the body suspended at the point of percussion.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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A small connecting rod of mass 1.5 kg is suspended in a horizontal plane by two wires 1.25 m long. The wires are attached to the rod at points 120 mm on either side of the centre of gravity. If the rod makes 20 oscillations in 40 seconds, find the radius of gyration of the rod about a vertical axis through the centre of gravity.

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A small connecting rod of mass 1.5 kg is suspended in a horizontal plane by two wires 1.25 m long. The wires are attached to the rod at points 120 mm on either side of the centre of gravity. If the rod makes 20 oscillations in 40 seconds, find the mass moment of inertia of the rod about a vertical axis through the centre of gravity.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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The periodic time of a compound pendulum is …….. when the distance between the point of suspension and the center of gravity is equal to the radius of gyration of the body about its center of gravity.

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A helical spring, of negligible mass, and which is found to extend 0.25 mm under a mass of 1.5 kg, is made to support a mass of 60 kg. The spring and the mass system is displaced vertically through 12.5 mm and released. Determine the frequency of natural vibration of the system.

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A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

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The maximum displacement of the body under Simple Harmonic Motion from its mean position is known as_______

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The maximum displacement of a body, from its mean position is called amplitude.

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When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to

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A rigid body has a radius of gyration of 20cm, if its moment of inertia is 10 Kg-m^2, find its mass in kilograms.

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A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its angular velocity in rad/s.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its maximum acceleration in m/s^2.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its time period in s.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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A body having moment of inertia of 30 kg m^2 is rotating at 210 RPM and mashes with another body at rest having M.I. of 40 kg m^2. The resultant speed after meshing will be

asked Sep 23, 2022 in Machine Kinematics by Leo (38.0k points)

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The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed of 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston in m/s, when it is at a distance of 0.75 metre from the centre.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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The piston of a steam engine moves with simple harmonic motion. The crank rotates at 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston, when it is at a distance of 0.75 metre from the centre.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed of 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston in m/s^2, when it is at a distance of 0.75 metre from the centre.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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The piston of a steam engine moves with simple harmonic motion. The crank rotates at 120 r.p.m. with a stroke of 2 metres. Find the acceleration of the piston, when it is at a distance of 0.75 metre from the centre.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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To determine moment of inertia of a rigid object both bifilar and trifilar suspensions can be used.

asked Sep 23, 2022 in Machine Kinematics by Leo (38.0k points)

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