How do I calculate the time and distance for a pendulum projectile problem?

Thread starter velocityoverrtime2
Start date Dec 7, 2019
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Pendulum Projectile Projectile motion Time

In summary, a pendulum projectile problem is a physics problem that involves studying the motion of an object suspended from a fixed point and released to swing back and forth under the influence of gravity. The factors that affect the motion of a pendulum projectile include the length of the pendulum, the angle of release, and the acceleration due to gravity. Calculations for the motion of a pendulum projectile can be made using equations that consider the initial velocity, acceleration due to gravity, and angle of release. A simple pendulum swings back and forth in a straight line, while a projectile pendulum follows a curved path due to the initial velocity and gravity. This problem is important in understanding principles of motion and gravity and has practical applications in engineering and physics

Dec 7, 2019

velocityoverrtime2

Homework Statement: A mass has a maximum speed of 1.905 m/s when it is at the lowest point of a pendulum swing. The lowest point is 0.5984 meters off the floor. At which horizontal position on the floor from the pendulum equilibrium position must a target be placed to hit the center of the target?

Relevant Equations: mgh=1/2mv^2
d=vt

Tried to find time in seconds in order to use the formula d=vt and find the distance in the x plane in which the target must be placed, to no avail.

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Dec 7, 2019

velocityoverrtime2

velocityoverrtime2 said:

Nevermind I found time from release to landing by using the formula t=(2dy/g)^1/2

1. What is a pendulum projectile problem?

A pendulum projectile problem is a physics problem that involves analyzing the motion of a projectile attached to a string or rod that is swinging like a pendulum. The goal is to determine the path and speed of the projectile as it swings back and forth.

2. How is a pendulum projectile problem different from a regular projectile problem?

In a regular projectile problem, the path of the projectile is affected by gravity and air resistance. In a pendulum projectile problem, the path is also affected by the motion of the pendulum, which adds an extra level of complexity to the analysis.

3. What are the key variables in a pendulum projectile problem?

The key variables in a pendulum projectile problem are the length of the pendulum, the angle at which the projectile is released, the initial velocity of the projectile, and the acceleration due to gravity.

4. How do you solve a pendulum projectile problem?

To solve a pendulum projectile problem, you first need to set up the equations of motion for the projectile and the pendulum. Then, you can use trigonometric functions and principles of conservation of energy to find the position, velocity, and acceleration of the projectile at different points in time.

5. What are some real-life applications of pendulum projectile problems?

Pendulum projectile problems can be applied to various real-life scenarios, such as the motion of a pendulum clock, the trajectory of a pendulum ride at an amusement park, or the movement of a pendulum in a grandfather clock. They can also be used in sports, such as analyzing the trajectory of a swinging baseball bat or a golf club.