Question

Chapter 3 - Cam/ 4. A cam rotating with a uniform speed about a fixed centre O moves a lever PQ which is pivoted at Q as illustrated below. The base radius of the cam is 25 mm. The nose of the cam is an arc of a circle of radius 10 mm with a centre E, the distance OE being 30 mm. The flanks are straight lines tangential to the base and nose circle. The lever carries a roller at P of radius 20 mm. The length PQ is 160 mm. The centre of gravity of the lever including the roller is at point G, 100 mm from Q. The mass moment of inertia of the lever ($I$) is 0.136 $kgm^2$. The lever moves through equal angles above and below the horizontal position and the path of P may be approximated to a vertical straight line passing though O. The lever rests on the cam only by its own weight and has a mass of 10 kg. Find the greatest speed of the camshaft at which the roller will always be in contact with the cam. For this speed of camshaft find; (a) At which point maximum downward acceleration occurs. (b) The angular acceleration of the lever when the roller is just leaving its lowest position. (c) The angular acceleration of the lever when the roller is just about to leave the straight flank on the cam on the upward stroke.

          Chapter 3 - Cam/
4. A cam rotating with a uniform speed about a fixed centre O moves a lever PQ which is pivoted at Q as illustrated below. The base radius of the cam is 25 mm. The nose of the cam is an arc of a circle of radius 10 mm with a centre E, the distance OE being 30 mm. The flanks are straight lines tangential to the base and nose circle. The lever carries a roller at P of radius 20 mm. The length PQ is 160 mm. The centre of gravity of the lever including the roller is at point G, 100 mm from Q. The mass moment of inertia of the lever ($I$) is 0.136 $kgm^2$. The lever moves through equal angles above and below the horizontal position and the path of P may be approximated to a vertical straight line passing though O. The lever rests on the cam only by its own weight and has a mass of 10 kg.

Find the greatest speed of the camshaft at which the roller will always be in contact with the cam. For this speed of camshaft find;
(a) At which point maximum downward acceleration occurs.
(b) The angular acceleration of the lever when the roller is just leaving its lowest position.
(c) The angular acceleration of the lever when the roller is just about to leave the straight flank on the cam on the upward stroke.

Chapter 3 - Cam/
4. A cam rotating with a uniform speed about a fixed centre O moves a lever PQ which is pivoted at Q as illustrated below. The base radius of the cam is 25 mm. The nose of the cam is an arc of a circle of radius 10 mm with a centre E, the distance OE being 30 mm. The flanks are straight lines tangential to the base and nose circle. The lever carries a roller at P of radius 20 mm. The length PQ is 160 mm. The centre of gravity of the lever including the roller is at point G, 100 mm from Q. The mass moment of inertia of the lever (I) is 0.136 kgm^2. The lever moves through equal angles above and below the horizontal position and the path of P may be approximated to a vertical straight line passing though O. The lever rests on the cam only by its own weight and has a mass of 10 kg.

Find the greatest speed of the camshaft at which the roller will always be in contact with the cam. For this speed of camshaft find;
(a) At which point maximum downward acceleration occurs.
(b) The angular acceleration of the lever when the roller is just leaving its lowest position.
(c) The angular acceleration of the lever when the roller is just about to leave the straight flank on the cam on the upward stroke.

Added by Victor Manuel D.

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