Velocity of the pendulum as it passes through the origin
A pendulum is made with a 4 kg mass suspended at the end of a 75 cm thin rod. The pendulum is started at an angle 20 degrees with the vertical. What is the velocity of the pendulum as it passes through the origin?
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A particle of mass 0.10 kg is attached to a spring of spring constant 10N/m. If the maximum acceleration of the particle is 5.0 m/s2, what is the maximum speed of the particle?
Three charges, each of magnitude 8 nC, are at separate corners of a square of edge length 2 cm. The two charges at opposite corners are positive, and the other charge is negative. Find the force exerted by these charges on a fourth charge q = +3 n
If a point charge q is moved from A to B while Q is fixed in place, through what potential difference does it move? Does its potential increase or decrease?
Express the finite difference formulation of the boundary nodes 0 and 8 for the case of no heat generation. Also obtain the finite difference formulation for the rate of heat transfer at the left boundary.
A batch of 50 different automatic typewriters contains exactly 10 defective machines. What is the probability of finding:
The spring's mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible. What distance must the spring be compressed?
Assume the oil is a Newtonian fluid, and a linear velocity profile applies to the oil film. Determine the kinematic viscosity of the oil.
The mass of the steam is 1.2 lb, find the work in Btu and the specific volume in ft3/lb. Ignore the changes in the kinetic and the potential energies.
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