The Paleozoic Era is bracketed by two major events in earth's history. It began with an unexplained explosion in animal life and ended with the world's largest mass-extinction known to man. The causes of these great events are currently unknown and under debate.
The acceleration of the pendulum mass D is; r"_d = [x''(t) + lθ'' cos θ - lθ'² sin θ]i - l[θ'' sin θ - θ'² cos θ]j
<h3>What is Kinematics of particles?</h3>
Kinematics is the study of the geometry of motion of particles, rigid bodies, etc., disregarding the forces associated with these motions. However, Kinematics of a particle is the motion of a point in space.
From the sample problem, we can solve it using the (x, y, z) coordinate system to get;
r_c = x(t) i
r_d = [x(t) + l sin θ]i + l cos θ j
Finding the first derivative of r_d gives velocity as;
r'_d = [x'(t) + lθ' cos θ]i - lθ' sin θ j
Taking the second derivative of r_d gives the acceleration as;
r"_d = [x''(t) + lθ'' cos θ - lθ'² sin θ]i - l[θ'' sin θ - θ'² cos θ]j
A sample problem of kinematics of particles is;
A block C slides along the horizontal rod, while a pendulum attached to the block can swing in the vertical plane. Find the acceleration of
the pendulum mass D.
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To turn left from a one-way street onto a one-way street, a driver should use: the lane closest to the left curb.
<h3>What is a traffic signal?</h3>
A traffic signal is a sign that is erected beside or above roads by a road safety agency, so as to give warnings and instructions to road users such as:
At some intersections, a driver should use the lane that is closest to the left curb when turning left from a one-way street onto a one-way street.
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Answer:
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The only quadrants in which csc x is positive from trigonometric quadrants are; quadrants 1 and 2
<h3>How to Interpret Trigonometric quadrants?</h3>
In trigonometric quadrants, we know that;
In quadrant 1, all functions are positive
In quadrant 2, sin and cosec functions are positive
In quadrant 3, tangent and cotangent functions are positive
In quadrant 4, cos and sec functions are positive.
Thus, we can see that the only quadrants for which csc x is positive are quadrant 1 and quadrant 2.
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