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I need someone to solve these questions in word file as follow HW should be legible, neat and organized with sensible steps in clear order. You may list known conditions, assumptions etc. but no problem statements need to be repeated. plots for HW can be hand-drawn with sensible labels indicating key features/numbers etc.3-90 A 4-m-long quarter-circular gate of radius 3 m and of
negligible weight is hinged about its upper edge A, as shown
in Fig. P3–90. The gate controls the flow of water over the
ledge at B, where the gate is pressed by a spring. Determine
the minimum spring force required to keep the gate closed when
the water level rises to A at the upper edge of the gate.
A
IK
3 m
www
B
Spring
FIGURE P3-90
3–97 A 200-kg
A 200-kg granite rock (p = 2700 kg/m?) is dropped
into a lake. A man dives in and tries to lift the rock. Deter-
mine how much force the man needs to apply to lift it from
the bottom of the lake. Do you think he can do it?
f 190 mi and
The bu11
3–99 The density of a liquid is to be determined by an old
1-cm-diameter cylindrical hydrometer whose division marks
are completely wiped out. The hydrometer is first dropped
in water, and the water level is marked. The hydrometer is
then dropped into the other liquid, and it is observed that the
mark for water has risen 0.3 cm above the liquid-air inter-
face (Fig. P3–99). If the height of the original water mark is
12.3 cm, determine the density of the liquid.
Mark for
water
10.3 cm
Unknown
liquid
12 cm
FIGURE P3-99

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