Block A accelerate with 6m/sec2 and Block B will accelerate with 3m/sec.2 when 60n force applied on both block calculate how much acceleration will develop when both block tied together.
Answers
Explanation:
Given coordinates of four points in a plane, find if the four points form a square or not.
To check for square, we need to check for following.
a) All fours sides formed by points are the same.
b) The angle between any two sides is 90 degree. (This condition is required as Quadrilateral also has same sides.
c) Check both the diagonals have the same distance
Answer:
First consider the horizontal or x-axis:
F
net
x
=
T
2
x
−
T
1
x
=
0.
Thus, as you might expect,
T
1
x
=
T
2
x
.
This gives us the following relationship:
T
1
cos
30
°
=
T
2
cos
45
°
.
Thus,
T
2
=
1.225
T
1
.
Note that
T
1
and
T
2
are not equal in this case because the angles on either side are not equal. It is reasonable that
T
2
ends up being greater than
T
1
because it is exerted more vertically than
T
1
.
Now consider the force components along the vertical or y-axis:
F
net
y
=
T
1
y
+
T
2
y
−
w
=
0.
This implies
T
1
y
+
T
2
y
=
w
.
Substituting the expressions for the vertical components gives
T
1
sin
30
°
+
T
2
sin
45
°
=
w
.
There are two unknowns in this equation, but substituting the expression for
T
2
in terms of
T
1
reduces this to one equation with one unknown:
T
1
(
0.500
)
+
(
1.225
T
1
)
(
0.707
)
=
w
=
m
g
,
which yields
1.366
T
1
=
(
15.0
kg
)
(
9.80
m/s
2
)
.
Solving this last equation gives the magnitude of
T
1
to be
T
1
=
108
N
.
Finally, we find the magnitude of
T
2
by using the relationship between them,
T
2
=
1.225
T
1
, found above. Thus we obtain
T
2
=
132
N
.