

[Q3-Lab/Home HL] Derive an algebraic expression that will relate the linear speed of the pendulum to...
Please show your work
4. A pendulum is dropped at a given angle, θ. Derive an expression for the maximum velocity of the pendulurn in terms of the initial drop angle, θ, and length of the pendulumí arm. L. If the length of the pendulum arm is L-8 inches, calculate the maximum velocity in ft/s.
2. In addition, we will derive an expression for the pressure that a gas exerts on the walls of a container. The remainder of this pre-lab asks you to take the first steps in that process: Imagine that the gas inside a cube of side length L has such low density that its particles almost never collide with each other; they collide only with the walls of the container. Assume a model of the gas as tiny moving billiard balls...
show all steps please
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 +sin0 0 dt2 where g 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0)~0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum with length...
Objective To determine the initial speed of an object before it collides with a second object by using energy and momentum and to determine the energy lost in a collision. Consider a pendulum consisting of a small block of mass M suspended by a thin rod of length L. A small ball of mass m traveling horizontally with initial speed vo strikes the block and becomes imbedded in it. The ball/block combination swing together through a maximum angle θ. Derive...
[Qe-Home/Lab -] From a swinging pendulum of m = 0.5Kg and length L = 0.6m (small angle approx.) complete the following tasks: (get it data from here, use speed data only) Qua) Compare the theoretical and observed pendulum's period (T) Qab) Estimate the maximum displacement angle. Show work. fx D E F B 1 2 3 4 5 6 7 8 9 10 11 12 Run #13 Run #13 Run #13 Run #13 Position (m) Velocity (m/s) Acceleration (Force (N)...
Need help With Analysis questions.
Ballistic Pendulum Lab In this lab, you will explore
conservation of Energy and Momentum in an inelastic collision
between a projectile and a cardboard box suspended from a string.
In particular, you will see that the transfer of linear momentum is
easily accounted for in an inelastic collision, but the transfer of
kinetic energy is not easy to measure directly. This is because
Kinetic Energy in collisions transfers to vibrational, acoustic,
and potential energy. Once...
The simple pendulum is often given as an example of simple harmonic motion. In this problem will will see how accurate this is. (a) Imagine a vertical pendulum of length l and mass m. Using the forces on the pendulum and applying Newton’s second law, obtain a differential equation in terms of θ (the angle with respect to the vertical axis) and its time derivatives. Please work in polar coordinates. (b) Show that in the limit where θ is small...
Ballistic Pendulum Version
Procedure: Fire a practice shot. Locate the landing point on the floor then secure a piece of white paper to the floor (centered about the landing point). Cover the sheet with a piece of carbon paper and tape it down. 1. Shoot the ball at least 5 times. Take care not to disturb the position of the launcher during the shots. 2. Measure the vertical height H of the projectile launcher from the floor. (Use a plumb...
please answer all pre-lab questions 1 through 5. THANK YOU!!!
this is the manual to give you some background.
the pre-lab questions..
the pre-lab sheet.
Lab Manual Lab 10: String Waves & Resonance Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and follow the procedure to do the experiment. You will record data sets, perform analyses, answer questions, and...
EXAMPLE 7.9 Maximum height of a home-run ball imum height of a projectile launched with ORO Earlier in ample 3.5) we derived an exression for de m initial speed the initial angle ignoring air resistance Video Tutor Solut 2 Now let's derive this expression using a conservation of energy analysis. Final point Velve- SOLUTION SET UP There are no sonconservative forces the work done by gravity is accounted for in the potential energy terms. As shown in Figure 7.30, we...