The fundamental equation for correct steering is (where $$\varphi $$ and $$\alpha $$ = Angle through which the axis of the outer wheel and inner wheel turns respectively, c = Distance between the pivots of the front axles and d = Wheel base)

A $$\sin \varphi + \sin \alpha = \frac{{\text{b}}}{{\text{c}}}$$
B $$\cos \varphi - \sin \alpha = \frac{{\text{c}}}{{\text{b}}}$$
C $$\cot \varphi - \cot \alpha = \frac{{\text{c}}}{{\text{b}}}$$
D $$\tan \varphi + \cot \alpha = \frac{{\text{b}}}{{\text{c}}}$$

Correct Answer: $$\cot \varphi - \cot \alpha = \frac{{\text{c}}}{{\text{b}}}$$

Bissoy MCQ
#Mechanical Engineering #Theory of Machine

Related Questions

The condition for correct steering of a Davis steering gear is (where $$\alpha = $$  Angle of inclination of the links to the vertical)
A $$\sin \alpha = \frac{{\text{b}}}{{\text{c}}}$$
B $$\cos \alpha = \frac{{\text{c}}}{{\text{b}}}$$
C $$\tan \alpha = \frac{{\text{c}}}{{2{\text{b}}}}$$
D $$\cot \alpha = \frac{{\text{c}}}{{2{\text{b}}}}$$
In a screw jack, the effort required to lift the load W is given by (where $$\alpha $$ = Helix angle and $$\varphi $$ = Angle of friction)
A $${\text{P}} = {\text{W}}\tan \left( {\alpha - \varphi } \right)$$
B $${\text{P}} = {\text{W}}\tan \left( {\alpha + \varphi } \right)$$
C $${\text{P}} = {\text{W}}\tan \left( {\varphi - \alpha } \right)$$
D $${\text{P}} = {\text{W}}\cos \left( {\alpha + \varphi } \right)$$
The efficiency of a screw jack is maximum, when (where $$\alpha $$ = Helix angle and $$\varphi $$ = Angle of friction)
A $$\alpha = {45^ \circ } + \frac{\varphi }{2}$$
B $$\alpha = {45^ \circ } - \frac{\varphi }{2}$$
C $$\alpha = {90^ \circ } + \varphi $$
D $$\alpha = {90^ \circ } - \varphi $$
The efficiency of a screw jack is maximum, when (where $$\alpha $$ = Helix angle and $$\varphi $$ = Angle of friction.)
A $$\alpha = {45^ \circ } + \frac{\varphi }{2}$$
B $$\alpha = {45^ \circ } - \frac{\varphi }{2}$$
C $$\alpha = {90^ \circ } + \varphi $$
D $$\alpha = {90^ \circ } - \varphi $$
Efficiency of a screw jack is given by (where $$\alpha $$ = Helix angle and $$\varphi $$ = Angle of friction.)
A $$\frac{{\tan \left( {\alpha + \varphi } \right)}}{{\tan \alpha }}$$
B $$\frac{{\tan \alpha }}{{\tan \left( {\alpha + \varphi } \right)}}$$
C $$\frac{{\tan \left( {\alpha - \varphi } \right)}}{{\tan \alpha }}$$
D None of these
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel and $$\varphi $$ = Pressure angle)
A $$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\cos \varphi }}{2}$$
B $$\frac{{\left( {{{\text{r}}^2} + {{\text{R}}^2}} \right)\sin \varphi }}{2}$$
C $$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\cos \varphi }}{2}$$
D $$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\sin \varphi }}{2}$$
A woman while shopping in a mall pushes her trolley 20 metres through an alley which is going East, then she turns to her left and walks 30 metres, then she turns West and walks another 30 metres, then she turns South and walks 30 metres and then she turns West and walks 25 metres. Where is she now with reference to her starting position?
A 35 metres West
B 5 metres West
C 35 metres East
D 5 metres East
The order in which effort applied to the steering wheel is transferred to the front wheel is
A Steering wheel, Steering gearbox, Steering shaft, Tie rod, Steering knuckle, Front wheels
B Steering wheel, Steering shaft, Steering gearbox, Tie rod, Steering knuckle, Front wheels
C Steering wheel, Steering shaft, Steering gearbox, Steering knuckle, Tie rod, Front wheels
D Steering wheel, Tie rod, Steering gearbox, Steering shaft, Steering knuckle, Front wheels
The maximum efficiency of spiral gears is (where $$\theta $$ = Shaft angle and $$\varphi $$ = Friction angle)
A $$\frac{{\sin \left( {\theta + \varphi } \right) + 1}}{{\cos \left( {\theta - \varphi } \right) + 1}}$$
B $$\frac{{\cos \left( {\theta - \varphi } \right) + 1}}{{\sin \left( {\theta + \varphi } \right) + 1}}$$
C $$\frac{{\cos \left( {\theta + \varphi } \right) + 1}}{{\cos \left( {\theta - \varphi } \right) + 1}}$$
D $$\frac{{\cos \left( {\theta - \varphi } \right) + 1}}{{\cos \left( {\theta + \varphi } \right) + 1}}$$
Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base.
A Nine times
B Six times
C Four times
D Two times

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