Related Questions

The dedendum circle diameter is equal to (where, $$\varphi $$ = Pressure angle)
A Pitch circle diameter × cos$$\varphi $$
B Addendum circle diameter × cos$$\varphi $$
C Clearance circle diameter × cos$$\varphi $$
D Pitch circle diameter × sin$$\varphi $$
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 $$\frac{{\left( {{\text{r}} + {\text{R}}} \right)\sin \varphi }}{2}$$
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 $$\frac{{\cos \left( {\theta - \varphi } \right) + 1}}{{\cos \left( {\theta + \varphi } \right) + 1}}$$
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
The radius of a friction circle for a shaft rotating inside a bearing is (where r = Radius of shaft and $$\tan \varphi $$  = Coefficient of friction between the shaft and bearing)
A $${\text{r}}\sin \varphi $$
B $${\text{r}}\cos \varphi $$
C $${\text{r}}\tan \varphi $$
D $$\frac{{\text{r}}}{2}\cos \varphi $$
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 $$\tan \varphi + \cot \alpha = \frac{{\text{b}}}{{\text{c}}}$$
If T is the actual number of teeth on a helical gear and $$\varphi $$ is the helix angle for the teeth, then formative number of teeth is written as
A $${\text{T}}{\sec ^3}\varphi $$
B $${\text{T}}{\sec ^2}\varphi $$
C $$\frac{{\text{T}}}{{{{\sec }^3}\varphi }}$$
D $${\text{Tcosec}}\varphi $$

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