The length of a conical bar is $$l$$, diameter of base is d and weight per unit volume is w. It is fixes at its upper end and hanging freely. The elongation of the bar under the action of its own weight will be

When a bar of length '$$l$$' and diameter 'd' is rigidly fixed at the upper end and hanging freely, then the total elongation produced in the bar due to its own weight is (where w = Weight per unit volume of the bar)

A

$$\frac{{{\text{w}}l}}{{2{\text{E}}}}$$

B

$$\frac{{{\text{w}}{l^2}}}{{2{\text{E}}}}$$

C

$$\frac{{{\text{w}}{l^3}}}{{2{\text{E}}}}$$

D

$$\frac{{{\text{w}}{l^4}}}{{2{\text{E}}}}$$

"It is now expected that the variable production cost per unit and the selling price per unit will each increase by 10%, and fixed production cost will rise by 25%. What will be the new break even point?
Selling price - Rs 6 per unit
Variable production cost - Rs 1.20 per unit
Variable selling cost - Rs 0.40 per unit
Fixed production cost - Rs 4 per unit
Fixed selling cost - Rs 0.80 per unit
Budgeted production and sales for the year are 10,000 units."

A

8,788 units

B

11,600 units

C

11,885 units

D

12,397 units

The elongation of a conical bar under its own weight is __________ that of prismatic bar of the same length.

A

Equal to

B

Half

C

One-third

D

Two-third

What is the condition for a tree to be weight balanced. where a is factor and n is a node? >= a*weight and weight >= a*weight. b) weight >= a*weight and weight >= a*weight. c) weight >= a*weight and weight >= a*weight. d) weight is a non zero

A

weight >= a*weight and weight >= a*weight.

B

n.left

C

n.left

D

n.left

A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.

A

B

D

C

B

D

C

The total elongation produced in a bar of uniform section hanging vertically downwards due to its own weight is equal to that produced by a weight

A

Of same magnitude as that of bar and applied at the lower end

B

Half the weight of bar applied at lower end

C

Half of the square of weight of bar applied at lower end

D

One fourth of weight of bar applied at lower end

A solid uniform metal bar is hanging vertically from its upper end. Its elongation will be _________

A

Proportional to L and inversely proportional to D2

B

Proportional to L2 and inversely proportional to D

C

Proportional of U but independent of D

D

Proportional of L but independent of D

A load of 100N falls through a height of 2cm onto a collar rigidly attached to the lower end of a vertical bar 1.5m long and of 105cm2 cross- sectional area. The upper end of the vertical bar is fixed. What is the maximum instantaneous elongation in the vertical bar if E = 200GPa?

A

0.245mm

B

0.324mm

C

0.452mm

D

0.623mm

Weight of Arun is 4/7 of the weight of Bablu. Weight of Bablu is 1/2 of the weight of Ram. Weight of Ram is 4 times of the weight of Deep. Weight of Deepis 1/9 of the weight of Ankit. Whose weight is more than the weight of Deep but less than the weight of Bablu?

A

Ankit

B

Arun

C

Ram

D

Deep

A solid metal bat of uniform diameter D and length L is hung vertically from a ceiling. If the density of the material of the bar is 1 and the modulus of elasticity is E, then the total elongation of the bar due to its own weight will be ____________

A

L/2E

B

L2/2E

C

E/2L

D

E/2L2

The length of a conical bar is $$l$$, diameter of base is d and weight per unit volume is w. It is fixes at its upper end and hanging freely. The elongation of the bar under the action of its own weight will be

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