Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
4. A plane composite object is made by attaching a thin uniform rod PQ of mass M, at right angles to the midpoint AB of a uniform rectangular lamina ABCD of mass m. Given that AB = Ga, BC = 3a = PQ, as shown in the diagram below: За B 3a D ба (i) Show that the moment of inertia I of the object about a smooth horizontal axist. through the midpoint of PQ and perpendicular to the plane of the lamina, is given by I = 4(17m + M)a² The object is slightly disturbed through small angles 0 from its equilibrium position to swing below Q. Aller time t, (ii) show that on = -3mga sin 0. dt?

4. A plane composite object is made by attaching a thin uniform rod PQ of mass M, at right angles to the midpoint AB of a uniform rectangular lamina ABCD of mass m. Given that AB = Ga, BC = 3a = PQ, as shown in the diagram below: За B 3a D ба (i) Show that the moment of inertia I of the object about a smooth horizontal axist. through the midpoint of PQ and perpendicular to the plane of the lamina, is given by I = 4(17m + M)a² The object is slightly disturbed through small angles 0 from its equilibrium position to swing below Q. Aller time t, (ii) show that on = -3mga sin 0. dt?

icon
Related questions
Question

Show all working explaining detailly each step

Answer must be typewritten with a computer keyboard!

Answer Q4i ,ii 

A plane composite object is made by attaching a thin uniform rod PQ of mass M, at right angles to the midpoint AB of a uniform rectangular lamina ABCD of mass m. Given that 4. AB = 6a, BC = 3a = PQ, as shown in the diagram below: 3a A B 3a D' ба (i) Show that the moment of inertia I of the object about a smooth horizontal axis1, through the midpoint of PQ and perpendicular to the plane of the lamina, is given by I = (17m + M)a? The object is slightly disturbed through small angles 0 from its equilibrium position to swing below Q. Alter time t, (ii) show that -3mga sin 0. dt? (iii) find an expression for the period of small oscillations of the object about I. (iv) show further that if m = M, then the component of the force perpendicular to the rod exerted by ton co the axis of rotation is mg sin 0.
Transcribed Image Text:A plane composite object is made by attaching a thin uniform rod PQ of mass M, at right angles to the midpoint AB of a uniform rectangular lamina ABCD of mass m. Given that 4. AB = 6a, BC = 3a = PQ, as shown in the diagram below: 3a A B 3a D' ба (i) Show that the moment of inertia I of the object about a smooth horizontal axis1, through the midpoint of PQ and perpendicular to the plane of the lamina, is given by I = (17m + M)a? The object is slightly disturbed through small angles 0 from its equilibrium position to swing below Q. Alter time t, (ii) show that -3mga sin 0. dt? (iii) find an expression for the period of small oscillations of the object about I. (iv) show further that if m = M, then the component of the force perpendicular to the rod exerted by ton co the axis of rotation is mg sin 0.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer