Recent questions tagged engineering-mechanics

A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular veloci...

A quiescent fluid at temperature $\mathrm{T}_{3}$ is confined between two vertical parallel plates. While plate $1$ is kept at temperature $\mathrm{T}_{1}$ and plate $2$ ...

A cantilever beam of length $L$ is subjected to a concentrated load $P$ and a moment $M$ as shown in the figure below. Neglecting the mass of the beam, which one of the f...

A $5$ kg mass is suspended at the free end of an overhanging massless beam, having a pin support and a roller support, as shown in the figure below. Young's modulus of th...

Consider the Euler variables of polyhedral objects namely, $\text{P1, P2, P3,}$ and $\text{P4}$ as given in the table below.\[\begin{array}{|c|c|c|c|c|c|c|}\hline\text{Po...

A block of $50$ kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two massless pulleys as shown...

A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of A in the downward direction at a ...

Two rectangular surfaces both having $1 \mathrm{~m}^{2}$ area are placed perpendicular to each other with a common edge. One surface is hot, having a temperature of $1000...

A simply supported beam of length $1 \: \text{m}$ is subjected to a uniformly distributed bending moment of $1 \: \text{N m}$ per $\text{m}$ throughout the length as show...

​​​​A ram in the form of a rectangular body of size $l=9 \mathrm{~m}$ and $b=2 \mathrm{~m}$ is suspended by two parallel ropes of lengths $7 \mathrm{~m}$. Assume the cent...

​​​​A rigid massless tetrahedron is placed such that vertex $\mathrm{O}$ is at the origin and the other three vertices $\text{A, B}$, and $\text{C}$ lie on the coordinate...

​​​​Which of the following beam(s) is/are statically indeterminate?

A three-hinge arch $\text{ABC}$ in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of $\text{P}=100 \mathrm{kN}$ ...

The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?

A spherical ball weighing $2 \mathrm{~kg}$ is dropped from a height of $4.9 \mathrm{~m}$ onto an immovable rigid block as shown in the figure. If the collision is perfect...

The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity $\omega_1$. A rigid bar $\text{PQ}$ is pinned to the wheel at $\text{P}$ whi...

A beam of length $L$ is loaded in the $x y-$ plane by a uniformly distributed load, and by a concentrated tip load parallel to the $z$-axis, as shown in the figure. The r...

A cylindrical rod of length $h$ and diameter $d$ is placed inside a cubic enclosure of side length $L. S$ denotes the inner surface of the cube. The view-factor $F_{S-S}$...

A massive uniform rigid circular disc is mounted on a frictionless bearing at the end $E$ of a massive uniform rigid shaft $\text{AE}$ which is suspended horizontally in ...

A square plate is supported in four different ways (configurations $(P)$ to $(S)$ as shown in the figure). A couple moment $C$ is applied on the plate. Assume all the mem...

A rope with two mass-less platforms at its two ends passes over a fixed pulley as shown in the figure. Discs with narrow slots and having equal weight of $20\: N$ each ca...

A rigid homogeneous uniform block of mass $1$ $\text{kg}$, height $h = 0.4 \:m$ and width $b = 0.3\: m$ is pinned at one corner and placed upright in a uniform gravitatio...

A rigid body in the $\text{X-Y}$ plane consists of two point masses ($1$ $\text{kg}$ each) attached to the ends of two massless rods, each of $1$ $\text{cm}$ length, as s...

The lengths of members $\text{BC}$ and $\text{CE}$ in the frame shown in the figure are equal. All the members are rigid and lightweight, and the friction at the joints i...

A rigid beam $\text{AD}$ of length $3a = 6\:m$ is hinged at frictionless pin joint $A$ and supported by two strings as shown in the figure. String $\text{BC}$ passes over...

A uniform light slender beam $\text{AB}$ of section modulus $\text{EI}$ is pinned by a frictionless joint $A$ to the ground and supported by a light inextensible cable $\...