Let M represents the mass, L represents length and T represents ume. Thenw the following units...
In MKS (SI units), mass is expressed in kilogram (Kg), length in meter (m) and time in second (s). What would be the units for the following? a. Speed = distance/time b. Momentum = mass * speed c. Kinetic energy = (1/2)*mass*speed2 d. Force = mass*acceleration e. Work = Force * distance
P1 What is the potential energy of the bob in terms of the string length (L), the mass of the bob (m), and g? Take the zero of potential energy to be at the bottom of the bob’s path. P2 What is the kinetic energy of the bob in terms of the sting length L, the tension in the string when the bob is at the bottom of its arc (Ttotal), the mass of the bob (m), and g? P3...
A pendulum consists of a string of length L and a mass m hung at one end and the mass oscillates along a circular arc. Part a) Familiarize yourself with the derivation of omega = Squareroot g/L to hold. i) Explain succinctly how the angular frequency of oscillation omega = Squareroot g/L comes about from Newton's Law, where g is the gravitational acceleration. ii) One assumption required is the small angle approximation: sin theta = theta and cos theta =...
A simple pendulum has a length L and a mass m. At its highest point, the pendulum mass is 0.25L above its lowest point (see figure below). What is the speed of the mass when it is at its lowest point? Express your answer in terms of m, L, and g. v = The position of a mass-on-a-spring oscillator is given by y = A sin(20t), where the value of t is in seconds and A = 0.44 m. What...
A uniform board of length L and mass M lies near a boundary that separates two regions. In region 1, the coefficient of kinetic friction between the board and the surface is μ1, and in region 2, the coefficient is μ2. The positive direction is shown in the figure.What is the total work done by the external force in pulling the board from region 1 to region 2? (Again, assume that the board moves at constant velocity.)Express your answer in...
1. A uniform rod of mass M = 5.01kg and length L = 1.18m can pivot freely (i.e., we ignore friction) about a hinge attached to a wall, as seen in the figure below. 2. Determine the linear acceleration of the tip of the rod. Assume that the force of gravity acts at the center of mass of the rod, as shown. Please show work for both questions radusn2. The rod is held horizontally and then released. At the moment...
The figure shows a thin rod, of length L = 2.10 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 9.20 kg is attached to the other end. The rod is pulled aside to angle θ0 = 22.0° and released with initial velocity = 0. As the ball descends to its lowest point, (a) how much work does the gravitational force do on it and (b)...
The figure shows a thin rod, of length L = 1.6 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 9.1 kg is attached to the other end. The rod is pulled aside to angle θ0 = 6.4° and released with initial velocity v Overscript right-arrow EndScripts Subscript 0 = 0. As the ball descends to its lowest point, (a) how much work does the gravitational...
Sam is trying to move a dresser of mass m and dimensions of length L and height H by pushing it with a horizontal force F⃗ applied at a height h above the floor. (Figure 1) The coefficient of kinetic friction between the dresser and the floor is μk and g is the magnitude of the acceleration due to gravity. The ground exerts upward normal forces of magnitudes NP and NQ at the two ends of the dresser. Note that...
Prelab 1: Consider the following system consisting of a falling mass m attached by a thread to a pulley of radius r and disk/platter of rotational inertiaI. As the mass falls, the thread unwinds and spins up the platter 17 The system considered above can be used to determine the rotational inertia () of the platter and pulley Sketch the force diagram for the falling mass (m) and write the equation of motion for the mass that involves the tension...