Questions without answers in Theory of Machines

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 gear train with five gears is shown in the figure below. The number of teeth on each gear is $\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}, \mathrm{~N}_{4}$, and $\...

The rotor of an aeroplane engine has a mass moment of inertia $1.0 \mathrm{~kg} \mathrm{~m}^{2}$. The engine rotates at a speed of $500$ RPM in the clockwise direction if...

Worm gearsets are used for transmitting rotary motion betweennon-parallel and non-intersecting shaftsintersecting shaftsparallel shaftsnon-parallel and intersecting shaft...

Suppose that with a pulley system, youneed to exert a force of 1,400 N to lifta heavy object. But without the pulleysystem, you need to exert 4,200 N tolift the object. W...

​​​​​In the context of balancing of rotating and reciprocating masses, which one of the following options is true?An unbalanced rigid rotor can be completely balanced usi...

An offset slider-crank mechanism is shown in the figure below. The length of the stroke of the slider is __________ $mm$ (rounded off to nearest integer).

​​​​The change in kinetic energy $\Delta E$ of an engine is $300 \mathrm{~J}$, and minimum and maximum shaft speeds are $\omega_{\min }=220 \mathrm{rad} / \mathrm{s}$ and...

The Levai type-$\text{A}$ train illustrated in the figure has gears with module $m=8 \mathrm{~mm} /$ tooth. Gears $2$ and $3$ have $19$ and $24$ teeth respectively. Gear ...

At the instant when $\text{OP}$ is vertical and $\text{AP}$ is horizontal, the link $\text{OD}$ is rotating counter clockwise at a constant rate $\omega=7 \mathrm{rad} / ...

A band brake shown in the figure has a coefficient of friction of $0.3$. The band can take a maximum force of $1.5 \mathrm{kN}$. The maximum braking force $\text{(F)}$ th...

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

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 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 ...

In the configuration of the planar four-bar mechanism at a certain instant as shown in the figure, the angular velocity of the $2$ $\text{cm}$ long link is $w_{2} = 5$ $...

The figure shows a schematic of a simple Watt governor mechanism with the spindle $O_{1}O_{2}$ rotating at an angular velocity $\omega$ about a vertical axis. The balls a...

The plane of the figure represents a horizontal plane. A thin rigid rod at rest is pivoted without friction about a fixed vertical axis passing through $O$. Its mass mome...

A planar four-bar linkage mechanism with $3$ revolute kinematic pairs and $1$ prismatic kinematic pair is shown in the figure, where $AB \perp CE$ and $FD \perp CE$. The ...

A schematic of an epicyclic gear train is shown in the figure. The sun $\text{(gear 1)}$ and planet $\text{(gear 2)}$ are external, and the ring gear $\text{(gear 3)}$ is...

Consider the mechanism shown in the figure. There is rolling contact without slip between the disc and ground.Select the correct statement about instantaneous centers in ...

The controlling force curves $\text{P, Q,}$ and $\text{R}$ for a spring controlled governor are shown in the figure, where $r_{1}$ and $r_{2}$ are any two radii of rotati...

A power transmission mechanism consists of a belt drive and a gear train as shown in the figure.Diameters of pulleys of belt drive and number of teeth $\text{(T)}$ on the...

The torque provided by an engine is given by $T(\theta) =12000+ 2500 \sin(2 \theta) \text{N.m}$, where $\theta$ is the angle turned by the crank from inner dead center. T...

Consider a reciprocating engine with crank radius $\text{R}$ and connecting rod of length $\text{L}$. The secondary unbalance force for this case is equivalent to primary...

The figure shows an arrangement of a heavy propeller shaft in a ship. The combined polar mass moment of inertia of the propeller and the shaft is $\text{100 kg.m}^{2}$. T...

Consider a two degree of freedom system as shown in the figure, where $\text{PQ}$ is a rigid uniform rod of length, $\text{b}$ and mass, $\text{m}$.Assume that the spring...

A tappet valve mechanism in an $\text{IC}$ engine comprises a rocker arm $\text{ABC}$ that is hinged at $\text{B}$ as shown in the figure. The rocker is assumed rigid and...

The Whitworth quick return mechanism is shown in the figure with link lengths as follows: $\text{OP = 300 mm, OA = 150 mm, AR = 160 mm, RS = 450 mm}$.The quick return rat...

The sun (S) and the Planet (P) of an epicyclic gear train shown in the figure have identical number of teeth.If the sun (S) and the outer ring (R) gears are rotated in th...

The turning moment diagram of a flywheel fitted to a fictitious engine is shown in the figure.The mean turning moment is $2000$ Nm. The average engine speed is $1000$ rpm...