A rod with a diameter of 3.00 mm, projects 2.0 cm horizontally outward from a wall. A 50.0 N weight is hung from the end of the rod and the rod deflects downward by 2.00 × 10-6 m. The shear strain of the rod is
Question
A rod with a diameter of 3.00 mm, projects 2.0 cm horizontally outward from a wall. A 50.0 N weight is hung from the end of the rod and the rod deflects downward by 2.00 × 10-6 m. The shear strain of the rod is
Solution
The shear strain is defined as the change in length (deflection) divided by the original length.
In this case, the change in length is the deflection, which is 2.00 × 10^-6 m. The original length is the length the rod projects from the wall, which is 2.0 cm or 0.02 m.
So, the shear strain (γ) can be calculated using the formula:
γ = ΔL / L
Substituting the given values into the formula, we get:
γ = (2.00 × 10^-6 m) / (0.02 m) = 1.00 × 10^-4
So, the shear strain of the rod is 1.00 × 10^-4.
Similar Questions
rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its ends and attached to the ceiling. The rod is of mass 'm' and has another weight of mass 2 m hung at a distance of 75 cm from A. The tension in the string at A is :
A light rod of length 200 cm is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross-sectional area 0.1 cm2 and the other of brass ofcross-sectional area 0.2 cm2. Along the rod the distance at which weight be hung to produce equal strains in both the wires is n m, where n is. Ybrass=10 x 1011 dyne/cm2 Ysteel=20 x 1011 dyne/cm2.
A cylindrical rod of copper (Young’s modulus of 110 GPa) with a yield strength of 240MPa will be subjected to a load of 6660 N. If the length of the rod is 380 mm, whatmust be the diameter to allow an elongation of 0.50 mm?
A rigid rod XY has negligible mass and length 75 cm. The rod is suspended from a fixed point Pby a string attached to end X. An object of mass 11 kg is suspended by a string that is attached tothe rod at a distance of 25 cm from end X, as shown.75 cm25 cm11 kgPX YWhich vertically upward force acting on end Y of the rod would hold the rod horizontally inequilibrium?A 3.7 N B 33 N C 36 N D 320 N
A squirrel of mass m climbs slowly on a thin straight vertical rod of length L. Mass of the rod is negligible as compared to that of the squirrel and size of the squirrel is negligible as compared to the length I that it climbs on the rod. Due to weight of the squirrel, the rod bends at its lower end through an angle 0 and due to elasticity of the material of the rod a restoring torque CO is developed. If C = 2mgl, find the maximum length the squirrel can climb on the rod.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.