In a differential band brake as shown in the below figure, the drum rotates anticlockwise and the greater tension T1 acts at A and smaller tension T2 at B. Length OA is greater than length OB. In order to apply the brake, the force P at C should

In a differential band brake as shown in the below figure, the drum rotates anticlockwise and the greater tension T1 acts at A and smaller tension T2 at B. Length OA is greater than length OB. In order to apply the brake, the force P at C should <img src="/images/question-image/mechanical-engineering/theory-of-machine/1528355624-42.JPG" title="Theory of Machine mcq question image" alt="Theory of Machine mcq question image">

In a differential band brake as shown in the below figure, if the length OB is greater than OA, then the force P at C should act in the downward direction.
Theory of Machine mcq question image

A

Yes

B

No

C

Unpredictable

D

None of these

For the given figure, the brake can sustain a torque of 350 N-m and coefficient of friction between the band and drum is 0.3, If the drum rotates in anticlockwise direction, find force in N.

A

804

B

756

C

850

D

900

The figure shows the plot of y as a function of x
Differential Equations mcq question image

The function shown is the solution of the differential equation (assuming all initial conditions to be zero) is

A

$$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} = 1$$

B

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = {\text{x}}$$

C

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = - {\text{x}}$$

D

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = \left| {\text{x}} \right|$$

Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?

A

3/4

B

5/6

C

11/12

D

7/6

What is the braking torque at leading shoe if resultant frictional force acts at a distance of 250 mm from the brake drum center, coefficient of friction between the shoe and the drum as 0.5, the free ends of the two shoes are pushed apart with a force of 300 N which is acting at a distance of 320 mm from anchor, and two shoes are anchored together 170 mm away from the brake drum center?

A

276.6 Nm

B

256.6 Nm

C

266.6 Nm

D

246.6 Nm

For the brake to be self locking, the force P at C shown in the below figure, should
Theory of Machine mcq question image

A

Be zero

B

Act in upward direction

C

Act in downward direction

D

None of these

In the below figure, PC is the connecting rod and OC is the crank making an angle $$\theta $$ with the line of stroke PO and rotates with uniform angular velocity at $$\omega $$ rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO, the acceleration of the piston is _________ when the crank OC and connecting rod PC are at right angles to each other.
Theory of Machine mcq question image

A

Infinity

B

Zero

C

Any +ve value

D

Any -ve value

In the below figure, PC is the connecting rod and OC is the crank making an angle $$\theta $$ with the line of stroke PO and rotates with uniform angular velocity at $$\omega $$ rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO, if N coincides with O, then
Theory of Machine mcq question image

A

Acceleration and velocity of the piston P is zero

B

Acceleration and velocity of the piston P is maximum

C

Acceleration of the piston P is zero and its velocity is maximum

D

Acceleration of the piston P is maximum and its velocity is zero

In the below figure, PC is the connecting rod and OC is the crank making an angle θ with the line of stroke PO and rotates with uniform angular velocity at $$\omega $$ rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO. The acceleration of the piston P with respect to the crank-pin C is given by
Theory of Machine mcq question image

A

$${\omega ^2}$$ × NO

B

$${\omega ^2}$$ × CO

C

$${\omega ^2}$$ × CN

D

$${\omega ^2}$$ × QN

The symbols @, ©, #, $ and ⋆ are used with the following meaning illustrated. X @ Y → X is not greater than Y, X © Y → X is neither smaller than nor equal to Y, X # Y → X is neither greater than nor smaller than Y, X $ Y → X is not smaller than Y, X * Y → X is neither equal to nor greater than Y. Statements: A # B $ C * D, C * E $ F, D * F, E @ J Conclusion: I. J © C II. F * J

A

Both I and II are correct

B

Only I is correct

C

Only II is correct

D

Either I or II is correct

E

None of these

In a differential band brake as shown in the below figure, the drum rotates anticlockwise and the greater tension T₁ acts at A and smaller tension T₂ at B. Length OA is greater than length OB. In order to apply the brake, the force P at C should

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