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Find the value of the input torque on the crank-shaft mechanism in followin Figure. The centers of gravity of link 2, 3 and 4 are at G₂, G3 and G4 respectivel The masses and moments of inertia of the links are: m₂-2 kg, m3 =0.5 kg, m4 = 0.5 kg, 1G₂ = 0.001 kg m², IG3 = 0.01 kg m² and IG4 = 0.002 kg m² . It is know that: O₂A = 3 cm, AB = 7 cm, AG3 = 2 cm, 0₂ = 60°, w₂ =-20 rad/s², a₂ = -100 rad/ and that external force P4 has a magnitude of 98 N. consider 03 =338.2 ° and th following accelerations for links 3 and 4: a3 = -250.26^i- 849:45^j cm/ s², A³ 174:44 rad/s², aG4 = -25.45^i cm/s², α4 = 0. A 2 M₂ 0₂=G₂ G3 3 B=G₁ P.

Find the value of the input torque on the crank-shaft mechanism in followin Figure. The centers of gravity of link 2, 3 and 4 are at G₂, G3 and G4 respectivel The masses and moments of inertia of the links are: m₂-2 kg, m3 =0.5 kg, m4 = 0.5 kg, 1G₂ = 0.001 kg m², IG3 = 0.01 kg m² and IG4 = 0.002 kg m² . It is know that: O₂A = 3 cm, AB = 7 cm, AG3 = 2 cm, 0₂ = 60°, w₂ =-20 rad/s², a₂ = -100 rad/ and that external force P4 has a magnitude of 98 N. consider 03 =338.2 ° and th following accelerations for links 3 and 4: a3 = -250.26^i- 849:45^j cm/ s², A³ 174:44 rad/s², aG4 = -25.45^i cm/s², α4 = 0. A 2 M₂ 0₂=G₂ G3 3 B=G₁ P.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Find the value of the input torque on the crank-shaft mechanism in the following figure. The centers of gravity of links 2, 3, and 4 are at \( G_2, G_3, \) and \( G_4 \) respectively. The masses and moments of inertia of the links are: - \( m_2 = 2 \) kg, - \( m_3 = 0.5 \) kg, - \( m_4 = 0.5 \) kg, - \( I_{G2} = 0.001 \) kg m\(^2\), - \( I_{G3} = 0.01 \) kg m\(^2\), - \( I_{G4} = 0.002 \) kg m\(^2\). It is known that: - \( O_2A = 3 \) cm, - \( AB = 7 \) cm, - \( AG_3 = 2 \) cm, - \( \theta_2 = 60^\circ \), - \( \omega_2 = 20 \) rad/s\(^2\), - \( a_2 = -100 \) rad/s\(^2\), and that external force \( P_4 \) has a magnitude of 98 N. Consider \( \theta_3 = 338.2^\circ \) and the following accelerations for links 3 and 4: - \( a_{G3} = -250.26\hat{i} - 849.45\hat{j} \) cm/s\(^2\), - \( \alpha_3 = 174.44 \) rad/s\(^2\), - \( a_{G4} = -25.45\hat{i} \) cm/s\(^2\), - \( \alpha_4 = 0 \). ### Diagram Explanation - The diagram shows a mechanism with four links. - \( O_2 \) is the fixed ground point. - Link 2 is represented as a rotating crank about \( O_2 \). - Link 3 is shown as a rod connecting points \( A \) and \( B \). - Link 4 is connected at point \( B \), extending parallel to the horizontal axis. - \( G_2, G_
Transcribed Image Text:Find the value of the input torque on the crank-shaft mechanism in the following figure. The centers of gravity of links 2, 3, and 4 are at \( G_2, G_3, \) and \( G_4 \) respectively. The masses and moments of inertia of the links are: - \( m_2 = 2 \) kg, - \( m_3 = 0.5 \) kg, - \( m_4 = 0.5 \) kg, - \( I_{G2} = 0.001 \) kg m\(^2\), - \( I_{G3} = 0.01 \) kg m\(^2\), - \( I_{G4} = 0.002 \) kg m\(^2\). It is known that: - \( O_2A = 3 \) cm, - \( AB = 7 \) cm, - \( AG_3 = 2 \) cm, - \( \theta_2 = 60^\circ \), - \( \omega_2 = 20 \) rad/s\(^2\), - \( a_2 = -100 \) rad/s\(^2\), and that external force \( P_4 \) has a magnitude of 98 N. Consider \( \theta_3 = 338.2^\circ \) and the following accelerations for links 3 and 4: - \( a_{G3} = -250.26\hat{i} - 849.45\hat{j} \) cm/s\(^2\), - \( \alpha_3 = 174.44 \) rad/s\(^2\), - \( a_{G4} = -25.45\hat{i} \) cm/s\(^2\), - \( \alpha_4 = 0 \). ### Diagram Explanation - The diagram shows a mechanism with four links. - \( O_2 \) is the fixed ground point. - Link 2 is represented as a rotating crank about \( O_2 \). - Link 3 is shown as a rod connecting points \( A \) and \( B \). - Link 4 is connected at point \( B \), extending parallel to the horizontal axis. - \( G_2, G_
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