Mechanics | Relativity Answers

Drive the dimension of
1. Surface tension
2. Coefficient of viscosity
3. Pressure
4. Universal gravitational force
5. Young modulus.

Show that velocity gradient = frequency.

A 1000 kg truck is parked on a bridge 100 m long at a distance of 25 m from one end of the bridge. The mass of the bridge is 200 kg m−1. Calculate the reaction forces at the supports at the two ends of the bridge. (Take g = 10 ms−2)

A machine that operates a kiddie ride at an amusement park requires 2500 J to lift a 30.0-kg child 5.0 meters. What is the efficiency of this machine?

A rope 5m long is fastened to two hooks 4m apart on a horizontal ceiling. To the rope is attached a 10kg mass so that the segments of the rope are 3m and 2m. Compute the tension in each segment

A uniform pole 7m long and weighing 10kg is supported by a boy 2m from one end and a man 3m from the other end.At what point must a 20kg weight be attached so that the man would support thrice as much weight as the boy?

5km + 30m + 7cm=

A satellite moves in an elliptical orbit with the earth at one focus . At the perigee it's speed is v and it's distance from the centre of the earth is r . If the eccentricity of orbit is 0.5, calculate it's speed at the apogee

Derive expressions for potential energy and kinetic energy of an oscillating spring-
mass system

A 1000 kg truck is parked on a bridge 100 m long at a distance of 25 m from one end of
the bridge. The mass of the bridge is 200 kg m−1
. Calculate the reaction forces at the
supports at the two ends of the bridge. (Take g = 10 ms−2
)