List of top Engineering Mechanics Questions asked in GATE CE

Two identical blocks A and B are connected by a rigid rod. The blocks rest against vertical and horizontal planes, as shown in the figure. The coefficient of static friction at the vertical and horizontal planes is the same. If the sliding impends when \(\theta = 45^{\circ}\), the value of the coefficient of static friction is (rounded off to two decimal places).

The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis (Y-Y). The moment of inertia of the section about the horizontal axis (X-X) passing through the centroid is  cm$^4$ (round off to nearest integer).} 

An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member PQ to the vertical member RS at P is  N (round off to one decimal place).

A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support P is  N (round off to one decimal place)

An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member PQ to the vertical member RS at P is  N (round off to one decimal place).} 

A uniform rod \( KJ \) of weight \( w \) shown in the figure rests against a frictionless vertical wall at the point \( K \) and a rough horizontal surface at point \( J \). It is given that \( w = 10 \, \text{kN} \), \( a = 4 \, \text{m} \), and \( b = 3 \, \text{m} \). The minimum coefficient of static friction that is required at the point \( J \) to hold the rod in equilibrium is _________ (round off to three decimal places).
Which of the following statement(s) is/are correct?