Solving the Parabolic Motion Problem: A Sphere with Unusual Weight and Size

In summary: The hammer was thrown at an angle of about 39.95 ° reaching the distance of 86.74 m.The tool consists of a sphere weighing 7.26 kg and radius 0.06 cm and a chain and a handle for a total length of 1.195 m.The height from from which the tool started was about 1.7 meters. The total turning radius is 1.95 m.1. Calculate how fast the hammer was thrownThe hammer was thrown at a speed of 86.74 m/s.
  • #1
Lord_Biscotto
1
0
Homework Statement
An athlete throws the hammer at an angle of about 39.95 ° reaching the
distance of 86.74 m. The tool consists of a sphere weighing 7.26 kg and radius
0.06 cm and a chain and a handle for a total length of 1.195 m. The height from
from which the tool started was about 1.7 meters. The total turning radius is 1.95 m.
1. Calculate how fast the hammer was thrown
2. Calculate the angular speed of rotation of the athlete at the moment of the throw.
3. Calculate the centripetal force exerted by the athlete immediately before the release (assuming
a uniform circular motion and neglecting the force of gravity)
4. Write the trajectory equation and draw its graph. Calculate the coordinates of the
point of greatest height.
5. Assuming that once launched, the hammer rotates on itself at the angular speed of
0.2 rounds per second calculate the kinetic energy and potential energy at the point of maximum altitude.
Note: the moment of inertia of the hammer is 0.2 kg * m2
Relevant Equations
i dont really know hot to write equations on pc
i have no clue how to start please help me
 
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  • #2
Lord_Biscotto said:
Homework Statement:: An athlete throws the hammer at an angle of about 39.95 ° reaching the
distance of 86.74 m. The tool consists of a sphere weighing 7.26 kg and radius
0.06 cm and a chain and a handle for a total length of 1.195 m. The height from
from which the tool started was about 1.7 meters. The total turning radius is 1.95 m.
1. Calculate how fast the hammer was thrown
2. Calculate the angular speed of rotation of the athlete at the moment of the throw.
3. Calculate the centripetal force exerted by the athlete immediately before the release (assuming
a uniform circular motion and neglecting the force of gravity)
4. Write the trajectory equation and draw its graph. Calculate the coordinates of the
point of greatest height.
5. Assuming that once launched, the hammer rotates on itself at the angular speed of
0.2 rounds per second calculate the kinetic energy and potential energy at the point of maximum altitude.
Note: the moment of inertia of the hammer is 0.2 kg * m2
Relevant Equations:: i don't really know hot to write equations on pc

i have no clue how to start please help me
Welcome to PF. :smile:

To write equations you can look at the LateX Guide link below the Edit window. You can also insert Greek letters and square root signs using the Greek Alphabet available under the little Parthenon icon to the left of the Table icon.

Start by listing the Relevant Equations. Those would be the kinematic equations for motion under a constant acceleration field (like gravity in this case). There are kinematic equations for linear motion and for circular motion, and it looks like you will use both in this problem.

We need to see you start the work before we can offer tutorial help. That's in the PF rules.
 
  • #3
a sphere weighing 7.26 kg and radius 0.06 cm
Very heavy material ? Or a typo ?
:welcome: !​

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Related to Solving the Parabolic Motion Problem: A Sphere with Unusual Weight and Size

1. What is parabolic motion?

Parabolic motion is the curved path that an object follows when it is thrown or projected near the surface of the Earth. It is a type of projectile motion where the object's trajectory is influenced by both its initial velocity and the force of gravity.

2. What are the factors that affect parabolic motion?

The factors that affect parabolic motion are the initial velocity, angle of projection, and the force of gravity. The initial velocity determines the speed of the object, while the angle of projection determines the direction of the object's motion. The force of gravity causes the object to accelerate towards the Earth, causing the parabolic shape of its trajectory.

3. How is the equation for parabolic motion derived?

The equation for parabolic motion is derived using the principles of kinematics and the laws of motion. By considering the initial velocity, angle of projection, and force of gravity, the equations for position, velocity, and acceleration can be derived and combined to form the equation for parabolic motion.

4. What are the applications of parabolic motion in real life?

Parabolic motion has many practical applications in our daily lives. It is used in sports such as football, basketball, and golf, where the trajectory of a thrown or kicked object follows a parabolic path. It is also used in engineering and physics to model the motion of projectiles, such as rockets and satellites.

5. How can parabolic motion be used to solve real-world problems?

Parabolic motion can be used to solve various real-world problems, such as calculating the optimal angle and velocity for a projectile to reach a specific target. It can also be used to analyze and predict the motion of objects in free-fall, such as a ball being thrown off a cliff or a rollercoaster ride. Additionally, parabolic motion can be used to study the effects of air resistance and other external forces on the motion of objects.

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