Answer:
θ = 30⁰
Explanation:
We have been given two wave displacement equations,
........(1)
........(2)
The waves will have same displacements when (say)
Therefore, operating (2) - (1), we get,
or, (since, sin 30⁰ = 0.5)
We can check the answer by putting in equations (1) and (2),
Answer:
The total energy of the composite system is 7.8 J.
Explanation:
Given that,
Height = 0.15 m
Radius of circular arc = 0.27 m
Suppose, the entire track is friction less. a bullet with a m₁ = 30 g mass is fired horizontally into a block of wood with m₂ = 5.29 kg mass. the acceleration of gravity is 9.8 m/s.
Calculate the total energy of the composite system at any time after the collision.
We need to calculate the total energy of the composite system
Total energy of the system at any time = Potential energy of the system at the stopping point
Put the value in to the formula
Hence, The total energy of the composite system is 7.8 J.
Given:
Applied stress,
Critical Resolved Stress,
Solution:
a). According to the question, orientation of tensile load is along [1 1 1],
Now, for resolved shear stress, along [1 0 1] within (1 1 T)
let '' be the angle between [1 1 1] and [1 0 1], then by coordinate formula:
=
=
let '' be the angle between [1 1 1] and [1 1 1], then by coordinate formula:
= 1
Now, for the resolved components along [1 0 1]
=
=
= 0.3673 MPa
b). For required tensile stress to produce :