Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [kinematics]

For questions on the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the mass of each or the forces that caused the motion.

Kinematics is a branch of classical mechanics that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the mass of each or the forces that caused the motion.

530 questions
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Computing velocity as a function of time

I have measured the amount of time (5 ms) it takes a projectile to travel 1 meter. I make the following assumptions: $1$-D motion. the only force acting on the projectile is a force due to drag, $F(t)$. the force due to drag is simply proportional…
Ramblin Wreck
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If a non uniform beam is held in equilibrium by two light strings at angles to the beam. What are the magnitudes of T1 and T2.

The question I'm working on is: A non-uniform beam AB of mass 5kg rests horizontally in equilibrium, supported by two light strings attached to the ends of the beam. The tensions in the strings are T1 and T2 and the strings make angles of 30" and…
Jbo
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Speed may increase or decrease when acceleration is positive

I came across a statement in my textbook saying acceleration positive indicates velocity increases and speed may increase or decrease Can you please provide examples for the saying for Speed I am able to understand the velicity one
Nandini Yadav
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Continuum mechanics- Deformation of circle

Diameter of a circle is a.b before deformation. What will be new form of circle under deformation: $$x_1 = 2 X_1+{1\over 2}X_2$$ $$x_2 = 2 X_1-{1\over 2}X_2$$ I tried to substitute $$ X_1^2+X_2^2=({a.b\over2})^2$$ using $$x_1+x_2=4X_1$$ and…
acaiberry
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Find Tension of rope of a box moving upwards

An box of mass m = 250kg is lowered by a rope. As the box is lowered its velocity changes over the distance d = 2.00m from initial velocity -4.00m/s to final velocity -1.00m/s. What is the tension of the rope What I did was: figure out acceleration…
awdaD ASDF
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Can anyone help with this question about finding the total distance traveled on a velocity time graph?

Question about a velocity time graph for a partical
Grigorian
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How to prove that a constant T satisfies the equation $T^2 - 50T - 2400 = 0$ in this question?

A car and a bus are travelling along a straight road towards traffic lights. The traffic lights change at time $t = 0$, where $t$ is in seconds. At this instant the car has a speed of $15 ms^{-1}$ . The car then decelerates uniformly to rest in…
oscar6721
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Acceleration of a particle varies with distance as $-kx$. The particle is initially given a velocity $v_0$. Find time take to reach initial point

$\newcommand{\d}{\mathrm{d}}$I am having a problem here because acceleration varies with distance, and I am not able to relate it with time \begin{align} a &=-\frac{kx}{m} \\ v\frac{\d v}{\d x} &= -\frac{kx}{m} \end{align} For…
Aditya
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A ground to ground projectile is at a point A at $t=\frac T3$ and at B at $t=\frac{5T}{6}$ and reaches the ground at $t=T$....

A ground to ground projectile is at a point A at $t=\frac T3$ and at B at $t=\frac{5T}{6}$ and reaches the ground at $t=T$. Find the difference in height between A and B. Time of flight is $$T=\frac{2u_y}{g}$$ where $u_y$ is vertical component of…
Aditya
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Confusion about max speed in kinematics

$V=-12 \sin(3t)$ When you differentiate and equate it to $0$, you get $t=\pi/6$, but the speed at this time is $-12$, is this correct? My book has the answer positive $12$. The whole question is: A particle p moves in a straight line such that its…
borns
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Trying to get velocity of rebounding of a sphere.

Problem : A sphere of mass $3/8kg$. is projected vertically upwards with velocity $7 m/sec$. from a point below the ceiling of the room at a distance $1.6 metre$. It impinges the ceiling, then it rebounded downwards. If the magnitude of change in…
AmirWG
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Confused about directions.

Problem : A wooden block of mass $5 kg$. fell down from a tower on a swimming pool. The tower is of height $19.6 metre$ above the water surface in the pool. After it collides with the water's surface it moved inside the water vertically downwards…
AmirWG
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Relative angular acceleration

Two solid bodies rotate about stationary mutually perpendicular and intersecting axes with constant angular velocity $X$ and $Y$. Find the angular acceleration of one body relative to another . My approach: well, differentiating the velocity would…
George carlin
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Question based on projectile and relative velocity

A man is riding a flatcar traveling with constant speed of 4 m/s. There is a stationary ring about the line of motion of the car. Height of the ring above the man’s hand is 7.2 m. He wishes to throw a ball through the ring in such a manner that the…
Aditya
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Ball A is dropped from the top of a building. At the same instant another bowl B is thrown vertically upward from the ground.

When the balls collide, they are moving in opposite direction and the speed of A is twice the speed of B. At what fraction of the height did the collision occur? Now I have solved this question a bit differently. I did not arrive at the right…
Aditya
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