Q6 (a) A magnesium-alloy wire of diameter d = 4 mm and length L rotates inside a flexible tube in. order to open or close a switch from a remote location as shown in Figure Q6(a). A torque T is applied manually (either clockwise or counterclockwise) at end B, thus twisting the wire inside the tube. At the other end A, the rotation of the wire operates a handle that opens or closes the switch. A torque T.= 0.2 Nm is required to operate the switch. The torsional stiffness of the tube, combined with friction between the tube and the wire, induces a distributed torque of constant intensity t = 0.04 Nm/m (torque per unit distance) acting along the entire length of the wire. (i) If the allowable shear stress in the wire is allow= 30 MPa, calculate the longest permissible length Lmax of the wire. (ii) If the wire has length L = 4.0 m and the shear modulus of elasticity for the wire is G = 15 GPa, calculate the angle of twist o (in degrees) between the ends of the wire.

Q6 (a) A magnesium-alloy wire of diameter d = 4 mm and length L rotates inside a flexible tube in. order to open or close a switch from a remote location as shown in Figure Q6(a). A torque T is applied manually (either clockwise or counterclockwise) at end B, thus twisting the wire inside the tube. At the other end A, the rotation of the wire operates a handle that opens or closes the switch. A torque T.= 0.2 Nm is required to operate the switch. The torsional stiffness of the tube, combined with friction between the tube and the wire, induces a distributed torque of constant intensity t = 0.04 Nm/m (torque per unit distance) acting along the entire length of the wire. (i) If the allowable shear stress in the wire is allow= 30 MPa, calculate the longest permissible length Lmax of the wire. (ii) If the wire has length L = 4.0 m and the shear modulus of elasticity for the wire is G = 15 GPa, calculate the angle of twist o (in degrees) between the ends of the wire.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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