Match the roling element bearings with the most appropriate loading condition

Bearing - type
(a)$$\,\,\,\,\,\,$$ Ball bearing
(b)$$\,\,\,\,\,\,$$ Roller bearing
(c)$$\,\,\,\,\,\,$$ Needle bearing
(d)$$\,\,\,\,\,\,$$ Taper roller bearing

Loading condition
(p)$$\,\,\,\,\,\,$$ Tangential load
(q)$$\,\,\,\,\,\,$$ Radial load
(r)$$\,\,\,\,\,\,$$ Heavy radial load with impact
(s)$$\,\,\,\,\,\,$$ Light radial load with space limitation
(t)$$\,\,\,\,\,\,$$ Heavy radial and axial load
(u)$$\,\,\,\,\,\,$$ Fatigue load

When there is no room temp change, the total shrinkage allowance on a pattern is INDEPENDENT OF

Converging passage is used for feeding the liquid molten metal into the mould to

A falk consisting of a cope and drag has the following dimensions: length $$300mm,$$ width $$200mm,$$ and total septh $$200mm$$ (cope height $$50mm$$).
A $$150mm\,\, \times \,100mm\,\, \times 50mm$$ cast iron block is to be cast. If the specific weight of cast iron is $$78\,\,kN/{m^3}$$ and that of the mold sand $$16\,\,kN/{m^3}$$, find lifting force on the cope created by buoyant force, weight of sand in the cope, the net force at the liquid-sand interface and additional weight to be kept on the cope.