Please solve and show full working
Please solve and show full working A pendulum consisting of a uniform rod and concentrated mass...
Please show all working, thank you. A pendulum consisting of a uniform rod and concentrated mass at its free end is pivoted to the inertial frame through a revolute joint. The rod has length L=1.2m and mass m=3 kg. The concentrated mass has magnitude M=5 kg. The system starts from rest with the rod making an angle 0=60° to the horizontal. A moment T=100 Nm acts on the rod. When the rod first makes an angle of ¢=300° to the...
A pendulum consisting of a uniform rod and concentrated mass at its free end is pivoted to the inertial frame through a revolute joint. The rod has length L=1.2m and mass m=3 kg. The concentrated mass has magnitude M=5 kg. The system starts from rest with the rod making an angle 0=60° to the horizontal. A moment T-100 Nm acts on the rod. When the rod first makes an angle of p=300" to the horizontal, calculate: 1. Angular velocity of...
Please provide fully worked solution A pendulum consisting of a uniform rod and concentrated mass at its free end is pivoted to the inertial frame through a revolute joint. The rod has length L=1.2m and mass m=3 kg. The concentrated mass has magnitude M=5 kg. The system starts from rest with the rod making an angle 0=60° to the horizontal. A moment T=100 Nm acts on the rod. When the rod first makes an angle of ©=300° to the horizontal,...
Please show all working for both questions. Thank you. A pendulum consisting of a uniform rod and concentrated mass at its free end is pivoted to the inertial frame through a revolute joint. The rod has length L=1.2m and mass m=3 kg. The concentrated mass has magnitude M=5 kg. The system starts from rest with the rod making an angle 0=60° to the horizontal. A moment T=100 Nm acts on the rod. When the rod first makes an angle of...
Use Reaction forces and Energy methods. Please show all working. Thank you very much. A pendulum consisting of a uniform rod and concentrated mass at its free end is pivoted to the inertial frame through a revolute joint. The rod has length L=1.2m and mass m=3 kg. The concentrated mass has magnitude M=5 kg. The system starts from rest with the rod making an angle 0=60° to the horizontal. A moment T=100 Nm acts on the rod. When the rod...
A compound pendulum is made up of a rod of length L, with mass M and a solid sphere of radius r, with mass m (see figure below). The pendulum is pivoted about one end and released from rest from and angle of 0, (angle with the vertical). (a) Find the distance, dom, of center of mass of this pendulum from its pivot. (b) Draw a free body diagram and write down Newton's 2nd Law (for rotation) for the pendulum...
(a) Knowing that the moment of inertia of a thin uniform metallic rod of mass m and length L about an axis through its center of mass is (1/12) mL?. what is its moment of inertial about a parallel axis through one of its ends (show your calculation). (b) A physical pendulum consisting of a thin metallic rod of mass m = 200.0 g and of length L - 1.000 m is suspended from the upper end by a frictionless...
A simple pendulum has a rod of length LL with a bob of mass m=0.100 kg at the end of the rod. The rod is supposed to be very light and all the mass is imagined to be concentrated in the bob. A) What is the tension in the string when the pendulum swings by an angle θ=5.00∘? B) What is the magnitude of the restoring force on the bob when θ=5.00∘? C) If you drop a perpendicular from the...
(a) Knowing that the moment of inertia of a thin uniform metallic rod of mass m and length L about an axis through its center of mass is (1/12) ml?, what is its moment of inertial about a parallel axis through one of its ends (show your calculation). (b) A physical pendulum consisting of a thin metallic rod of mass m = 200.0 g and of length L = 1.000 m is suspended from the upper end by a frictionless...
Question 2 The pendulum shown in Figure 2 consists of a concentrated mass m attached to a rod whose mass is small compared to m. The rod's length is L. The equation of motion for this pendulum is Suppose that L 1 m and g 9.81 m/s2. Use MATLAB to solve this equation using symbolic and numerical techniques for, θ(t) for two cases: , θ(0)-0.5 rad and, θ(0)-0.8 rad. In both cases 0(0) 0. Figure 2- A pendulum [3 marks]...