Classical Mechanics Answers

A body is projected upward with a velocity of 30m/s. Find the time when the velocity will be 5m/s

A car has a steady speed of 25m/s along a horizontal curve of radius 115m. What is the minimum coefficient of static friction between the road and the car’s tires that will allow the car to travel at this speed without sliding?

A uniform ladder of length 50 feet, rests against a vertical wall with which it makes an angle of

60 degree, the coefficient of friction between wall and ladder and ground respectively being 1/2 and 3/5. If a man whose weight is one-fourth to the ladder ascends the ladder, how high will

be he when ladder slips?

A partial of mass m moves in the xy plane so that its position vector is r=acos(wt)i+basin(at)j where a,b and w are constants and a>b. Find the kinetic energy (i)at x=a,(ii)at y=b,(iii) work done I moving the particle from x=a to x=b

a) The resistor of an RC circuit has a resistance of 10 MΩ, the time constant is 1 s. What is the capacity of the capacitor? b) To what percent of the original value does the voltage of the capacitor decrease in 2 s?

Ms. Ratchford wants to go for a walk. She travels to Starbucks which is 3.5 km [N11W] she then goes to Walmart to get groceries and travels 1.5 KM[S45E]. What is her displacement?

A smooth wire is bent into the shape of a helix with cylindrical polar coordinates ρ=R

and z=λφ, where R and λ are constants and the z axis is vertically up. Using z as your generalized

coordinate, write down the lagrangian for a bead of mass m threaded on the wire. Find the lagrange

equation and hence the bead’s vertical acceleration d2 z/dt

2 . In the limit that R goes to zero, what is

d2 z/dt

2

? Does the make sense?

The acceleration of a particle is given by a relation a=v3 . It is known that at time t=0, position is -2m and velocity is CRN. Find the displacement, position, velocity and acceleration at instant of CRN/5 sec

Find the maximum distance the spring is compressed. Assume a spring constant of 1.0 x 106N/m.​​​​​​

The time constant of an RC circuit is 0.6 s. a) To what voltage can the capacitor be charged in 1 s if the voltage source is 100 V? b) In what time will the capacitor be discharged from that value to its half?