Mechanics | Relativity Answers

A man drags a 76kg crate across the floor at constant velocity by pulling a strap attached to the bottom of the crate. Crate is tilted 25° above horizontal. Strap is included 61° above horizontal (between box top and hands). Center of Gravity of crate coincides with its geometric center. Find magnitude of tension in the strap. Crate is 0.40m tall by 0.90m long.

A 4N mass is hung at 85cm mark on a meter rule given that the pivot is praced at 75cm mark . Determine the mass of the meter rule

A 2kg pulley with a 0.25m radius with a rotational inertia of (1/2)(mr^2) is connected to a 16kg bucket of water. The pulley has an initial clockwise angular velocity of 12rad/s. Calculate the maximum height that the bucket will reach. Calculate the angular acceleration on the bucket.

In a hydroelectric power plant, 100 m 3 /s of water flows from an elevation of 70 m to a

turbine, where electric power is generated. The overall efficiency of the

turbine–generator is 86 percent. Disregarding frictional losses in piping, estimate the

electric power output of this plant.

Derive the equation of motion of a simple harmonic motion and obtain the expression for its velocity time period and frequency

Derive an expression for the logarithmic decrement of a damped oscillator.

A shell is fired at an angle of 20 degree to , an above, the horizontal from the top of a cliff 90 meter high , the velocity of the shell is 150 meter per second, calculate the distance from the foot of the cliff where it strikes the ground and 2) calculate the highest point above the ground reach by the shell

A 5 kg particle moving along the x-axis experiences the Net Force F_x = 10t, where t is in seconds. The particle has a velocity of 2 m/s at t = 1s. Find the particle's velocity at t = 5s:

a. 24 m/s

b. 26 m/s

c. 27 m/s

d. 25 m/s

A hovercraft passes point A moving west with a speed of 15m/seconds. The hovercraft begins to accelerate at a steady rate of 2m/sec² east. How long is it before the hovercraft passes point A moving east and with what speed it will be moving as it does so?

Suppose you decide to travel to a star 65 light-years away with a speed that tells you the distance is only 25 light-years. How many years would it take to make the trip?