Here the maximum angular displacement of the sign board is given 25 degree
mass of the sign is 2.40 kg and its vertical side is 55 cm
Now the moment of inertia of the board about the hinge point is given as
now by energy conservation
so angular speed just before the impact is 2.24 rad/s
Part b)
now a mass of 450 g travels in opposite direction and hit at the lower end
so here we will use angular momentum conservation
Part c)
Again we can use energy conservation
Answer:
The system has two solutions:
(1, -1) and (0, 0)
Explanation:
We have the system of equations:
x + y = 0
x = x^2 + 2*x*y
To solve this, the first step is to isolate one of the variables in one of the equations, I will isolate x on the first one.
x = -y
Now we can replace this on the other equation, to get:
x = x^2 + 2*x*y
(-y) = (-y)^2 + 2*(-y)*y
Now we can solve this equation for y.
-y = y^2 - 2*y^2
-y = -y^2
y^2 - y = 0
We can solve this using the Bhaskara's formula:
The solutions are then:
Then the two possible solutions are:
y = (1 + 1)/2 = 1
and
y = (1 - 1)/2 = 0
Suppose that we take the first one, y = 1.
Then the solution for x is given by "x = -y"
Then:
x = -1
This means that one solution of the system is (-1, 1)
If we take the other solution for y, y = 0
The value of x will be:
x = -y = -0 = 0
Then another solution of the system is (0, 0)
Answer:
no deflection and net force is zero. Moving in same direction and with same speed
Explanation:
Charge = negative
the angle between the velocity vector and the magnetic field vector is 0°, so the force is given by
F = q v B Sin 0
F = 0
As the force is zero so the charge particle moves with the same velocity and in the same direction.
there is no deflection in the path of negatively charged particle.
niAnswer:
(A) Vx = -9.14ωCosωt,
Vy = 9.14ωSinωt
(B) ax =9.14ω²Sinωt,
ay = 9.14ω²Cosωt
Explanation:
The velocity of a body ia the time derivative of the poaition function of the body with respect to time. Given equations x = −9.14 sin ωt and y = 4.00 − 9.14 cos ωt,
All we need to do to get the velocity is to differentiate each of the equation above with respect to time in order to get Vx and Vy required of us.
Vx = dx/dt = -9.14ωCosωt and
Vy = dy/dt = 9.14ωSinωt
In order to get the acceleration we differentiate the velocity function with respect to time. That is,
A = dv/dt
ax = dVx/dt = 9.14ω²Sinωt
ay = dVx/dt = 9.14ω²Cosωt
Answer:
127.4 newtons
Explanation:
Assuming g = 9.8:
F = ma = 13(9.8) = 127.4 N