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X 5. 416 REED'S APPLIED MECHANICS FOR ENGINEERS graving of 4. Working in cm, and taking moments about the centre of sheave arranged vertically: = y = Σ moments of areas Σ areas 0.7854 x 502 x00-7854 x 12.52 x 10 137:815 2 y = 0-10 42-1 = -10 15 = -0.667cm 0.7854 × 50²-0-7854 x 12.52 The minus sign means that the centre of gravity is in the opposite direction to the hole, from the centre of the sheave, . CG = 6.67 mm from centre. Ans. Alternatively, if moments are taken about the thin edge of the sheave, y from edge 50² 0.7854 × 502 ×(250-7854 x 12.52 15 0.7854 × 50²-0-7854 x 12-52 42 × 25-15 35mm 385 = 42 - 1 15 = 25.667 cm from edge = 6.67 mm from centre à 420mm- 20 -120mm 100ma. Ommy 70mm

X 5. 416 REED'S APPLIED MECHANICS FOR ENGINEERS graving of 4. Working in cm, and taking moments about the centre of sheave arranged vertically: = y = Σ moments of areas Σ areas 0.7854 x 502 x00-7854 x 12.52 x 10 137:815 2 y = 0-10 42-1 = -10 15 = -0.667cm 0.7854 × 50²-0-7854 x 12.52 The minus sign means that the centre of gravity is in the opposite direction to the hole, from the centre of the sheave, . CG = 6.67 mm from centre. Ans. Alternatively, if moments are taken about the thin edge of the sheave, y from edge 50² 0.7854 × 502 ×(250-7854 x 12.52 15 0.7854 × 50²-0-7854 x 12-52 42 × 25-15 35mm 385 = 42 - 1 15 = 25.667 cm from edge = 6.67 mm from centre à 420mm- 20 -120mm 100ma. Ommy 70mm

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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X 5. 416 REED'S APPLIED MECHANICS FOR ENGINEERS graving of 4. Working in cm, and taking moments about the centre of sheave arranged vertically: = y = Σ moments of areas Σ areas 0.7854 x 502 x00-7854 x 12.52 x 10 137:815 2 y = 0-10 42-1 = -10 15 = -0.667cm 0.7854 × 50²-0-7854 x 12.52 The minus sign means that the centre of gravity is in the opposite direction to the hole, from the centre of the sheave, . CG = 6.67 mm from centre. Ans. Alternatively, if moments are taken about the thin edge of the sheave, y from edge 50² 0.7854 × 502 ×(250-7854 x 12.52 15 0.7854 × 50²-0-7854 x 12-52 42 × 25-15 35mm 385 = 42 - 1 15 = 25.667 cm from edge = 6.67 mm from centre à 420mm- 20 -120mm 100ma. Ommy 70mm
Transcribed Image Text:X 5. 416 REED'S APPLIED MECHANICS FOR ENGINEERS graving of 4. Working in cm, and taking moments about the centre of sheave arranged vertically: = y = Σ moments of areas Σ areas 0.7854 x 502 x00-7854 x 12.52 x 10 137:815 2 y = 0-10 42-1 = -10 15 = -0.667cm 0.7854 × 50²-0-7854 x 12.52 The minus sign means that the centre of gravity is in the opposite direction to the hole, from the centre of the sheave, . CG = 6.67 mm from centre. Ans. Alternatively, if moments are taken about the thin edge of the sheave, y from edge 50² 0.7854 × 502 ×(250-7854 x 12.52 15 0.7854 × 50²-0-7854 x 12-52 42 × 25-15 35mm 385 = 42 - 1 15 = 25.667 cm from edge = 6.67 mm from centre à 420mm- 20 -120mm 100ma. Ommy 70mm
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