Consider the following figure and choose the correct option.   Assertion: The system is a statically indeterminate cantilever beam.Reason: There are four unknowns and three equations.

The Cantilever beam is a beam in which;*Both ends are fixedBoth ends are freeOne end is fixed and one is free

A cantilever beam shown in the figure below is commonly used to support a load acting on a balcony.The left side of a horizontal beam is connected to a vertical wall. Eight equally spaced vertical arrows start above the beam and point downward, toward the beam. The collection of arrows is labeled w. The leftmost arrow is near the left end of the beam at the wall, and the rightmost arrow is at the right end of the beam. A point near the left end of the beam is a distance x to the right of the wall, and the length of the beam is L > x.The deflection of the centerline of the beam is given by the following equationy = −wx224EI(x2 − 4Lx + 6L2),where we have the following.y = deflection at a given location (m)w = distributed loadE = modulus of elasticity (N/m2)I = second moment of area (m4)x = distance from the support as shown (m)L = length of the beam (m)What is the appropriate unit for w if the preceding equation is to be homogeneous in units? Show all steps of your work.Starting with the equation y = −wx224EI(x2 − 4Lx + 6L2), the units of y are m, the units of the product E I are , and the units of x2, Lx, and L2, are all equal to . Rearranging the equation above to solve for w, we obtain the following. (Use any variable or symbol stated above as necessary.)w = Then, the units of w are N · m3 = .

A cantilever beam with square cross-section of 6 mm side is subjected to a load of 2 kN normal to the top surface as shown in the figure. The Young’s modulus of elasticity of the material of the beam is 210 GPa,fl magnitude of slope (in radian) at Q (20 mm from the fixed end) is_____ :

State two conditions for a beam balance to be in equilibrium.

Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length 0.01 m. The frequency of vibration of the beam, with a 0.5 kg mass attached at the free tip, is 100 Hz. The flexural rigidity (in N. ?2) of the beam is::