The maximum load a wire can withstand without breaking when its length is reduced to half of its original length, will:
1. | be doubled |
2. | be halved |
3. | be four times |
4. | remain the same |
A spring is stretched by applying a load to its free end. The strain produced in the spring is:
1. | volumetric |
2. | shear |
3. | longitudinal and shear |
4. | longitudinal |
A mild steel wire of length \(\mathrm{2L}\) and cross-sectional area \(A\) is stretched, well within the elastic limit, horizontally between two pillars (figure). A mass \(m\) is suspended from the mid-point of the wire. Strain in the wire is:
1. \( \frac{x^2}{2 L^2} \)
2. \(\frac{x}{\mathrm{~L}} \)
3. \(\frac{x^2}{L}\)
4. \(\frac{x^2}{2L}\)
A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports (figure). It can be done in one of the following three ways;
The tension in the strings will be:
1. the same in all cases.
2. least in (a).
3. least in (b).
4. least in (c).
A wire is suspended from the ceiling and stretched under the action of a weight \(F\) suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.
a. | Tensile stress at any cross-section \(A\) of the wire is \(F/A.\) |
b. | Tensile stress at any cross-section is zero. |
c. | Tensile stress at any cross-section \(A\) of the wire is \(2F/A.\) |
d. | Tension at any cross-section \(A\) of the wire is \(F.\) |
The correct statements are:
1. (a), (b)
2. (a), (d)
3. (b), (c)
4. (a), (c)
A rod of length l and negligible mass is suspended at its two ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths (figure). The cross-sectional areas of wires A and B are respectively. ()
a. | Mass m should be suspended close to wire A to have equal stresses in both wires. |
b. | Mass m should be suspended close to B to have equal stresses in both wires. |
c. | Mass m should be suspended in the middle of the wires to have equal stresses in both wires. |
d. | Mass m should be suspended close to wire A to have equal strain in both wires. |
The correct statements are:
1. (b, c)
2. (a, d)
3. (b, d)
4. (c, d)
A copper and a steel wire of the same diameter are connected end to end. A deforming force \(F\) is applied to this composite wire which causes a total elongation of \(1\) cm. The two wires will have:
a. | the same stress |
b. | different stress |
c. | the same strain |
d. | different strain |
Choose the correct option:
1. | (a, b) |
2. | (a, d) |
3. | (b, c) |
4. | (c, d) |