A 1kg mass of clay, moving with a velocity of 10 m/s, strikes a stationary wheel and sticks to it. The solid wheel has a mass of 20 kg and a radius of 1m. Assuming that the wheel and the ground are both rigid and that the wheel is set into pure rolling motion, the angular velocity of the wheel immediately after the impact is approximately

1.  zero

3.

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Explanation :
No Explanation available for this question

The two shafts AB and BC, of equal length and diameters d and 2d, are made of the same material. They are joined at B through a shaft coupling, while the ends A and C are built-in (cantilevered). A twisting moment T is applied to the coupling. If TA and TC represent the twisting moments at the ends A and C, respectively, then

1.  TC = TA

2.  TC = 8TA

3.  TC = 16TA

4.  TC = 16Tc

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TC = TA

Explanation :
No Explanation available for this question

A beam is made up of two identical bars AB and BC, by hinging them together at B. The end A is built-in (cantilevered) and the C is simply supported. With the load P acting as shown, the bending moment at A is

1.  zero

2.  PL/2

3.  3PL/2

4.  Indeterminate

4

PL/2

Explanation :
No Explanation available for this question

A cantilever beam carries the anti-symmetric load shown, where w0 is the peak intensity of the distributed load. Qualitatively, the correct bending moment diagram for the beam is

1.

2.

3.

4.

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Explanation :
No Explanation available for this question

A cantilever beam has the square cross section 10 mm x 10 mm. It carries a transverse load of 10N. Considering only the bottom fibres of the beam, the correct representation of the longitudinal variation of the bending stress is

1.

2.

3.

4.

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Explanation :
No Explanation available for this question

In a cam-follower mechanism, the follower needs to rise through 20 mm during 60o of cam rotation, the first 30o with a constant acceleration and then with a deceleration of the same magnitude. The initial and final speeds of the follower are zero. The cam rotates at a uniform speed of 300 rpm. The maximum speed of the follower is

1.  0.60 m/s

2.  1.20 m/s

3.  1.68 m/s

4.  2.40 m/s

4

2.40 m/s

Explanation :
No Explanation available for this question

A rotating disc of 1 m diameter has two eccentric masses of 0.5 kg each of radii of 50 mm and 60 mm at angular positions of 0o and 150o, respectively, a balancing mass of 0.1 kg is to be used to balance the rotor. What is the radial position of the balancing mass of 0.1 kg is to be used to balance the rotor. What is the radial position of the balancing mass

1.  50 mm

2.  120 mm

3.  150 mm

4.  280 mm

4

150 mm

Explanation :
No Explanation available for this question

In a spring-mass system, the mass is 0.1 kg and the stiffness of the spring is 1 kN/m. By introducing a damper, the frequency of oscillation is found to be 90% of the original value. What is the damping coefficient of the damper

1.  1.2 N.s/m

2.  3.4 N.s/m

3.  8.7 N.s/m

4.  12.0 N.s/m

4

8.7 N.s/m

Explanation :
No Explanation available for this question

The Mohr’s circle of plane stress for a point in a body is shown. The design is to be done on the basis of the maximum shear theory for yielding. Then, yielding will just begin if the designer chooses a ductile material whose yield strength is

1.  45 Mpa

2.  50 Mpa

3.  90 Mpa

4.  100 Mpa

4

90 Mpa

Explanation :
No Explanation available for this question

A weighing machine consists of a 2kg pan resting on spring. In this condition, with the pan resting on the spring, the length of the spring is 200 mm. When a mass of 20 kg is placed on the pan, the length of the spring becomes 100 mm. For the spring, the un-deformed length 10 and the spring constant K (stiffness) are

1.  l0 = 220 mm, k = 1862 N/m

2.  l0 = 210 mm, k = 1960 N/m

3.  l0 = 200 mm, k = 1960 N/m

4.  l0 = 200 mm, k = 2156 N/m

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