Fresh answer please. Thanks in advance.
Fresh answer please. Thanks in advance. Consider the following pendulum that consists of a massless straight...
2. (35 points) A pendulum consists of a point mass (m) attached to the end of a spring (massless spring, equilibrium length-Lo and spring constant- k). The other end of the spring is attached to the ceiling. Initially the spring is un-sketched but is making an angle θ° with the vertical, the mass is released from rest, see figure below. Let the instantaneous length of the spring be r. Let the acceleration due to gravity be g celing (a) (10...
A simple pendulum consists of a point mass, m, attached to the end of a massless string of length 2. It is pulled out of its straight-down equilibrium position by a small angle 8 and released so that it oscillates about the equilibrium position in simple harmonic motion. A graph showing the pendulum's angular position as a function of time is given in the figure. What is the frequency of the pendulum's motion? (degre) 1.07 120 3.0 et one: 0.63...
Consider the inverted pendulum system presented in Fig. 1. The pivot of the pendulum is mounted on a cart, which can move in a horizontal direction. The pendulum can be kept balanced at a specific position by applying a horizontal force to drive the carriage. Assume that the pendulum mass, m, is concentrated ia at the end of the massless rod. The horizontal displacement of the pivot on the cart is x, the rotational angle of the pendulum is θ...
The undamped pendulum pivoted at point O shown in Figure E3.48 has a cylinder of mass m2 at its top that rotates without slipping on the interior of a cylinder. At the bottom end of the pendulum, a mass m1 is attached. The rod connecting the two masses is rigid and weightless. The system is in equilibrium at theta = 0. Determine an expression for the period of oscillation of the system. Assume that m2L2 < m1L1. (Using Lagrange's method)...
A. In lab you assumed the pendulum rod (length 30.6 cm) was massless, with the cage (260 g) and ball (use 64 g) as a point mass at the end of the rod. Let’s repeat that calculation just so we are all using the same numbers. In lab, you related the final potential energy (use θ = 43 ° from vertical, where 0 ° corresponds to the initial (bottom) position) to the initial kinetic energy to get an initial velocity....
In lab you assumed the pendulum rod (length 30.6 cm) was massless, with the cage (260 g) and ball (use 64 g) as a point mass at the end of the rod. Let’s repeat that calculation just so we are all using the same numbers. In lab, you related the final potential energy (use θ = 43 ° from vertical, where 0 ° corresponds to the initial (bottom) position) to the initial kinetic energy to get an initial velocity. i....
P4. A clock keeps time using the periodic motion of a simple pendulum. The pendulum consists of a string of length L and a bob of mass m-5.00 kg attached to the end of the string. The pendulum has a period T-1.00 s. The initial angle (0) at 0 is equal to 0.175 rad. The bob is released from rest (i.e. -0) at -0. The angle between the string and the vertical is given by the equation: e-a cos (or...
PROBLEM 2.In the sketch a three part physical pendulum is shown, consisting of two massless rods (L=1 m) which make a 90 angle with respect to each other and are constrained to pivot at about an axis that is perpendicular to the paper and at the corner of where they meet. Two unequal point masses aresolidly attached, one at each end. The rod oscillates (when disturbed from equilibrium) due to the downward force of gravity. (ignore friction and air resistance)....
x = L x= x, At t = 0 a block with mass M = 5 kg moves with a velocity v = 2 m/s at position x, = -.33 m from the equilibrium position of the spring. The block is attached to a massless spring of spring constant k = 61.2 N/m and slides on a frictionless surface. At what time will the block next pass x = 0, the place where the spring is unstretched? t1 = %3D...
Please answer all parts of the problem and e A system consists of a vertical spring with force constant k = 1,060 N/m, length L = 1.25 m, and object of mass m = 5.70 kg attached to the end (see figure). The object is placed at the level of the point of attachment with the spring unstretched, at position yi = L, and then it is released so that it swings like a pendulum. A system consists of a...