Past Year Questions: FBD, Equilibrium, Plane Trusses And Virtual Work - Mechanical Engineering MCQ

A bar of uniform cross section and weighing 100 N is held horizontally using two massless and inextensible strings S₁ and S₂ as shown in the figure.

[2018]

If point A is in equilibrium under the action of the applied forces, the values of tensions T_AB and T_AC are respectively.

[2006]

A weight of 500 N is supported by two metallic ropes as shown in the figure. The values of tensions T₁ and T₂ are respectively

[2015]

A car having weight W is moving in the direction as shown in the figure. The center of gravity (CG) of the car is located at height h from the ground, midway between the front and rear wheels. The distance between the front and rear wheels is l. The acceleration of the car is a, and acceleration due to gravity is g. The reaction on the front wheels(R_f) and rear wheels (R_r) are given by:

[2019]

A mass 35 kg is suspended from a weightless bar AB which is supported by a cable CB and a pin at A as shown in figure. The pin reactions at A on the bar AB are

[1997]

A truss consists of horizontal members (AC, CD, DB  and EF) and vertical members (CE and DF) having length l each. The-members AE, DE and BF are inclined at 45° to the horizontal For the uniformly distributed load p per unit length on the members EF of the truss shown in figure given below, the force in the member CD is

[2003]

The figure shows a pin-jointed plane truss Ioaded at the point M by hanging a mass of 100 kg. The member LN of the truss is subjected to a load of

[2004]

Consider a truss PQR loaded at P with aforce Fas shown in the figure.

The tension in the number QR is

[2008]

Two steel truss members, AC md BC, each having cross sectional are of 100 mm², are subjected to a horizontal force F as shown in figure. All the joints are hinged.

If F = 1 kN, the magnitude of the vertical reaction force developed at the point B in kN is

[2012]

Two steel truss members, AC md BC, each having cross sectional are of 100 mm², are subjected to a horizontal force F as shown in figure. All the joints are hinged.

The maximum force F in kN that can be applied at C such that the axial stress in any of the truss members DOES NOT exceed 100 MPa is

[2012]

For the truss shown in the figure, the forces F₁ and F₂ are 9 kN and 3 kN, respectively. The force (in kN) in the member QS is (All dimensions are in m)

[2014]

For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively

[2015]

For the truss shown in the figure, the magnitude of the force (in kN) in the member SR is

[2015]

A two member truss PQR is supporting a load W. The axial forces in members PQ and QR are respectively

[2016]

If a system is in equilibrium and the position of the system depends upon many independent variables, the principle of virtual- work states that the partial derivatives of its total potential energy with respect to each of the independent variable must be

[2006]

Two identical trusses support a load of 100 N as shown in the figure. The length of each truss is 1.0 m, cross-sectional area is 200 mm²; Young's modulus E = 200 GPa. The force in the truss AB (in N) is

[2015]

A ladder AB of length 5 m and weight (W) 600 N is resting against a wall. Assuming frictionless contact at the floor (B) and the wall (A), the magnitude of the force P (in newton) required to maintain equilibrium of the ladder is_____.

[2014]