A two-member truss $$PQR$$ is supporting a load W. The axial forces in members $$PQ$$ and $$QR$$ are respectively

A point mass $$M$$ is released from rest and slides down a spherical bowl (of radius $$R$$) from a height $$H$$ as shown in the figure below. The surface of the bowl is smooth (no friction). The velocity of the mass at the bottom of the bowl is

The instantaneous stream-wise velocity of a turbulent flow is given as follows: $$$u\left( {x,y,z,t} \right) = \overline u \left( {x,y,z} \right) + \mu '\left( {x,y,z,t} \right)$$$

The time - average of the fluctuating velocity $$u'(x,y,z,t)$$

A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is $${U_0}.$$ The velocity profile at the inlet $$a$$-$$b$$ is uniform, while that at a downstream location $$c$$-$$d$$ is
given by $$u = {U_0}\left[ {2\left( {{y \over \delta }} \right) - {{\left( {{y \over \delta }} \right)}^2}} \right]$$

The ratio of the mass flow rate, $$\mathop {m{}_{bd}}\limits^ \bullet ,$$ leaving through the horizontal section $$b$$-$$d$$ to that entering through the vertical section $$a$$-$$b$$ is