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Problems
Physics
Physics
Problem
A particle of mass
m
m
m
is moving along a trajectory given by
x
=
x
0
+
a
cos
ω
1
t
,
y
=
y
0
+
b
cos
ω
2
t
.
x = x_0 + a \cos \omega_1 t,\qquad y = y_0 + b \cos \omega_2 t.
x
=
x
0
+
a
cos
ω
1
t
,
y
=
y
0
+
b
cos
ω
2
t
.
The torque, acting on the particle about the origin, at
t
=
0
t = 0
t
=
0
is: a.
m
(
−
x
0
b
+
y
0
a
)
ω
1
2
k
^
m(-x_0 b + y_0 a)\omega_1^2 \hat{k}
m
(
−
x
0
b
+
y
0
a
)
ω
1
2
k
^
b.
+
m
y
0
a
ω
1
2
k
^
+my_0 a \omega_1^2 \hat{k}
+
m
y
0
a
ω
1
2
k
^
c. zero d.
−
m
(
x
0
b
ω
2
2
−
y
0
a
ω
1
2
)
k
^
-m(x_0 b \omega_2^2 - y_0 a \omega_1^2) \hat{k}
−
m
(
x
0
b
ω
2
2
−
y
0
a
ω
1
2
)
k
^
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