**
**Crank effort is the net force applied at the crankpin______to the crank which gives the required turning moment on the crankshaft.

Crank effort is the net force applied at the crankpin______to the crank which gives the required turning moment on the crankshaft.

**(A)**

parallel

**(B)**

perpendicular

**(C)**

at 45^{0}

**(D)**

135^{0}

**B**

**
**In a dynamically equivalent system, a uniformly distributed mass is divided into ____point masses.

In a dynamically equivalent system, a uniformly distributed mass is divided into ____point masses.

**(A)**

two

**(B)**

three

**(C)**

four

**(D)**

five

**A**

**
**Any distributed mass can be replaced by two point masses to have the same dynamical properties if

Any distributed mass can be replaced by two point masses to have the same dynamical properties if

**(A)**

the sum of the two masses are equal to the total mass

**(B)**

the combined center of mass coincides with that of the rod

**(C)**

the moment of inertia of two point masses about perpendicular axis through their combined center of mass is equal to that of the rod

**(D)**

all of the mentioned

**D**

**
**In a slider crank mechanism, if q and b are the angles made by the crank and the connecting rod respectively with the line of stroke and v is the linear velocity of the crank pin, the velocity of the slider is given by

In a slider crank mechanism, if q and b are the angles made by the crank and the connecting rod respectively with the line of stroke and v is the linear velocity of the crank pin, the velocity of the slider is given by

**(A)**

$$v\;\cos\left[90^\circ-(\theta-\beta)\right]\;\cos\beta$$

**(B)**

$$v\;\cos\left[90^\circ+(\theta-\beta)\right]\;\cos\beta$$

**(C)**

$$v\;\cos\left[90^\circ-(\theta+\beta)\right]\;\sin\beta$$

**(D)**

$$v\;\cos\left[90^\circ-(\theta+\beta)\right]\;\cos\beta$$

**D**

**
**Which of the following is not the required condition for replacing a rigid body by a dynamically equivalent system of two masses?

Which of the following is not the required condition for replacing a rigid body by a dynamically equivalent system of two masses?

**(A)**

The sum of the two masses are equal to the total mass.

**(B)**

The sum of the squares of two masses are equal to the square of the total mass.

**(C)**

The combined center of mass coincides with that of the rod.

**(D)**

The moment of inertia of two point masses about perpendicular axis through their combined center of mass is equal to that of the rod.

**B**