A uniform wire of length 3m and mass 10 kg is suspended vertically from one end and loaded at another end by a block of mass 10 kg. The radius of the cross-section of the wire is 0.1 m. The stress in the middle of the wire is: (g = 10 )
1. 1.4 x
2. 4.8 x
3. 96 x
4. 3.5 x
A uniform wire is held at one end and stretched by applying force at the other end. If the product of the length of wire and area of cross-section of the wire remains unchanged, then Poisson's ratio of material of the wire will be:
The elongation (x) of a steel wire varies with the elongating force (F) according to the graph: (within elastic limit)
The stress-strain curve for two materials A and B are as shown in the figure. Select the correct statement-
1. Material A is less brittle and less elastic as compared to B
2. Material A is more ductile and less elastic as compared to B
3. Material A is less brittle and more elastic than B
4. Material B is more brittle and more elastic than A
The Young's modulus of a wire is numerically equal to the stress at a point when:
1. the strain produced in the wire is equal to unity.
2. the length of the wire gets doubled.
3. the length increases by 100%.
4. All of these
Two wires X and Y of the same length are made of the same material. The figure represents the load F versus extension graph for the two wires. Hence:
1. Modulus of elasticity of Y is greater than that of X.
2. Stiffness of Y is more than that of X.
3. The cross-sectional area of Y is less than that of X.
4. All of these
A metallic rope of diameter 1 mm breaks at 10 N force. If the wire of the same material has a diameter of 2 mm, then the breaking force is:
1. 2.5 N
2. 5 N
3. 20 N
4. 40 N
The Poisson's ratio of a material is 0.4. If a force is applied to a wire of this material, there is a decrease in the cross-section area by 2%. In such a case the percentage increase in its length will be:
The breaking stress of a wire going over a smooth pulley in the following question is 2 × N/. What would be the minimum radius of the wire used if it is not to break?
The increase in the length of a wire on stretching is 0.04%. If Poisson's ratio for the material of wire is 0.5, then the diameter of the wire will:
1. decrease by 0.02%.
2. decrease by 0.01%.
3. decrease by 0.04%.
4. increase by 0.03%.