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Engineering mechanics Dynamics Division 1 Tutorial 12 Tutorial answer sheets should be submitted in tutorial class Monday itself Data not given can be assumed Text books can be referred 1 A slender rod of length l is pivoted about a point C located at a distance b from its center G It is released from rest in a horizontal position and swings freely Determine a the distance b for which the angular velocity of the rod as it passes through a vertical position is maximum b the corresponding values of its angular velocity fig 1 5 marks 2 A 30 kg uniform circular plate of radius r is supported by a ball and socket joint at point A and is at rest in the vertical xy plane when a bullet with a mass of 15 g is fired with the velocity v0 210 m s k and hits the plate at point C Knowing that r 400 mm and h 700 mm determine a the angular velocity of the plate immediately after the bullet becomes embedded b the impulsive reaction at point A assuming that the bullet becomes embedded in 1 1 ms fig 2 5 marks 3 The uniform thin 2 3 kg disk spins at a constant rate of 6 rad s about an axis Continue to download »
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SLOVAK UNIVERSITY of TECHNOLOGY IN BRATISLAVA FACULTY OF MECHANICAL ENGINEERING INSTITUT OF APPLIED MECHANICS AND MECHATRONICS B Sc SYLLABUS ENGINEERING MECHANICS I STATICS Number of subject 2 5510 Study discipline all study program Number of credit 5 Lectures 26 hour 2 hour week 13 week term Warrantor of subject Assoc Prof M Sc PhD Stanislav iaran Lecturer Assoc Prof M Sc PhD Stanislav iaran Year first summer Seminars 26 hour 2 hour week 2008 Key words vector force equilibrium rigid body constrain centre of gravity friction locking journal rolling virtual stability motion 1 Engineering mechanics Basic concepts Axioms Newton s laws History of mechanics Units and dimension Problem solving and accuracy of solution Methods a procedures of the solving of problems Application of vector calculus Forces and lines of action rectangular components Moments moment of a force about a point a line the couple Varignon s theorem 2 Force systems Equipollence 
SLOVAK UNIVERSITY of TECHNOLOGY IN BRATISLAVA FACULTY OF MECHANICAL ENGINEERING INSTITUT OF APPLIED MECHANICS AND MECHATRONICS B Sc SYLLABUS ENGINEERING MECHANICS II DYNAMICS Number of subject 2 5520 Study discipline all study program No of credit 6 Lectures 39 hour 3 hour week 13 week term Warrantor of subject Lecturer Assoc Prof M Sc PhD Stanislav iaran Year second summer Seminars 26 hour 2 hour week 2008 Key words vector mass rigid body constrain motion dynamic equilibrium work energy impulse vibration impact gyroscope reaction 1 Introduction to Dynamics Kinematics of Particles History and modern application Basic concepts Newton s laws Units Formulation and solution of dynamics problems Rectilinear motion of particles General plane curvilinear motion Rectangular co ordinates Normal and tangential co ordinates Space curvilinear motion Relative motion Constrained motion of connected particles 2 Kinetics of Particles Linear momentum of a 
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