An object that has a mass of m kg was thrown straight up from a platform which is h m above the ground. The initial velocity was
The air resistance is proportional to the velocity of the object and is equal to av N. Write down the equation for the distance traveled by the object at any time. Find the velocity of the object at the ground level for
Task: demonstrate the step-by-step creation and subsequent simulation of a double pendulum in MapleSim.
For this example, we will need the following components from the multibody library:
- the fixed frame component
- the rigid body frame component
- the revolute joint component
- the rigid body component
Problem: For the AC network shown below, determine the current in branch A-B both in polar and rectangular coordinates by using Thevenin’s Theorem.
An intrepid physics student decides to try bungee jumping. She obtains a cord that is m long and has a spring constant of . When fully suited, she has a mass of . She looks for a bridge to which she can tie the cord and step off. Determine the minimum height of the bridge L, that will allow her to stay dry (that is, so that she stops just before hitting the water below). Assume air resistance that is negligible.
Consider a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket’s position measured from the center of the Earth is given by:
where RE is the radius of the Earth (6.38 ✕ 106m) and g is the constant acceleration
of an object in free fall near the Earth’s surface (9.81 m/s2). Continue reading
Particles with two different masses m and M are located along a linear harmonic chain
of infinite length. The chain has a force constant k (see the picture below). The
distance between two particles with the same mass is equilibrium and equals to a.
qj and rj are the deviations of particles mj and Mj from their equilibrium positions respectively. Continue reading