Engineering mechanics is the foundation of all things in Mechanical Engineering. A good grip on the subject of Engineering Mechanics will help you score well in GATE Mechanical Engineering.
Q1) A 50 N cylinder rests on the frictionless parabolic surface under support on an inextensible string over a pulleyt holding a weight W. Determine the normal force that the weight exerts on the surface and the required weight W in Newtons.
Q2) Determine the force F needed to maintain a spherical body of 15 N attached to a weightless beam which is supported by a spring of stiffness 2 kN/m and hinged at another end. The beam was initially vertical and the spring was unstretchded.
Q3) Determine the horizontal and vertical components of the resultant forces and the resultant forces and the resultant moment transferred to the support of the bracket shown in the figure.
Q4) Determine the tension in the cables, and , for equilibrium of the 500 N body as shown in the figure below.
Q5) Determine the length of cable AB to support the body of 90 N along with a spring of stiffness 250 N/m and unstretched length 0.8 m, as shown in figure.
Q6) Determine the unstretched lengths of the two springs supporting a 400 N block between two supports at a span length of 2 m, as shown in the figure.
Q7) A motor weighing 15 N is supported by a frame hinged at one end and roller support at the other end. The motor exerts a moment of 5 Nm in clockwise direction. Determine the support reactions as shown in the figure.
Q8) Determine the force in each member of the truss.
Q9) A frictionless 5 kg cast iron collar is attached to a spring having a stiffness 5 N/m and unstretched length AB = 3 m. The collar is released from point B and slides down on a stainless steel rod. What will be acceleration of the collar when it passes a point C?
Q10) A ram of 150 kg is released from rest 0.5 m over a plate of 5 kg which is supported by a spring of stiffness k = 15 kN/m. The spring is initially stretched by 98.1 mm. Determine the compression in the spring.