关于压力和积分的.A vertical gate on a dam has a rectangular shape 4m long and 6m deep.If the surface of the water is level with the top,find the force against the gate.A vertical gate on a dam is a rectangle 4m long and 5m deep.The surface of

关于压力和积分的.A vertical gate on a dam has a rectangular shape 4m long and 6m deep.If the surface of the water is level with the top,find the force against the gate.A vertical gate on a dam is a rectangle 4m long and 5m deep.The surface of
关于压力和积分的.
A vertical gate on a dam has a rectangular shape 4m long and 6m deep.If the surface of the water is level with the top,find the force against the gate.
A vertical gate on a dam is a rectangle 4m long and 5m deep.The surface of the water is level with the gate.Find the force against the gate.
A rectangular tank is 8m wide and 2m deep.If the tank is filled with water,find the force against one end.
A rectangular tank is 7m wide and 2m deep.If the tank is only half full with water,find the force against one end of the tank.
The vertical gate on a dam is a rectangle 2m long and 2m high.If the top of the gate is horizontal and below the surface,find the force against the gate.
A trough full of water has vertical ends in the shape of an isosceles triangle 5m across the top and 4m deep.Find the force against the end.
w = 10000 N/m^3 for all of these

关于压力和积分的.A vertical gate on a dam has a rectangular shape 4m long and 6m deep.If the surface of the water is level with the top,find the force against the gate.A vertical gate on a dam is a rectangle 4m long and 5m deep.The surface of
压强P=p液gh
p液g=10000 N/m^3
压强只和液面高度有关
A vertical gate on a dam has a rectangular shape 4m long and 6m deep.If the surface of the water is level with the top,find the force against the gate.
压力=∫Pds=∫10000*4*hdh|[0,6]=20000*h^2|(0,6)=720000N
同理可得
A vertical gate on a dam is a rectangle 4m long and 5m deep.The surface of the water is level with the gate.Find the force against the gate.
压力=∫Pds=500000N
A rectangular tank is 8m wide and 2m deep.If the tank is filled with water,find the force against one end.
压力=∫Pds=160000N
A rectangular tank is 7m wide and 2m deep.If the tank is only half full with water,find the force against one end of the tank.
压力=∫Pds=35000N
The vertical gate on a dam is a rectangle 2m long and 2m high.If the top of the gate is horizontal and below the surface,find the force against the gate.
压力=∫Pds=40000N
A trough full of water has vertical ends in the shape of an isosceles triangle 5m across the top and 4m deep.Find the force against the end.
设底为x,高为h,x/h=2*根号(5^2-4^2)/4=3/2
x=3/2h,s=1/2*h*x=3/4*h^2
ds/dh=3/2hdh
压力=∫Pds=∫10000*h*3/2hdh=5000*h^3|[0,4]=320000N

1,2
F=(wld^2)/2
where l=long d=deep (in water)
3,4
F=(wld^2)/2
where l=wide d=deep (in water)
5
F=(wlh^2)/2
where l=long h=high
6
F=w(2d^2-d^3/3)
where d=deep
I'M NOT SURE IF I AM RIGHT

同济大学版的 高等数学，教材侧重于微积分的计算，高三的那本微积分，同济高等数学的微分、积分和微分方程部分，习题尽量做。在做做物理题基本就够了。