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Dynarnics Under the action of the ideal constraints the sum of the virtual works of the positive forces and of the inertial forces, acting on every particle of the system, along an arbitrary virtual displacement is zero at any moment. LExample 1 a triangular prism b is slipping along the smooth inclined plane of the triangular prism A. The triangular prism A is placed on the smooth horizontal plane. The weights of A and B are M and m, the angle of inclination is a. Determine the acceleration of A Solution Investigate the system consisting bB e of both triangular prisms. This system is under the action of ideal A 5 constraints. It has two degree of P freedom. 4=Ma 77777 B+0 B 2B n,2B=ma9 [Example 1] A triangular prism B is slipping along the smooth inclined plane of the triangular prism A. The triangular prism A is placed on the smooth horizontal plane. The weights of A and B are M and m, the angle of inclination is . Determine the acceleration of A. Investigate the system consisting of both triangular prisms. This system is under the action of ideal constraints. It has two degree of freedom. , . r r B e B r B e B B A Q ma Q ma Q Q Q Q Ma = = = + = Under the action of the ideal constraints the sum of the virtual works of the positive forces and of the inertial forces, acting on every particle of the system, along an arbitrary virtual displacement is zero at any moment. Solution
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