Mechanics | Relativity Answers

A particle perform simple harmonic motion in a straight line about a center C in the line.When it's distances from C are 5.0 and 13.0cm,it's velocities are 25.0 and 7.0cm/s respectively.Find the period and the amplitude of the oscillation. Hint: use V=±w(angular velocity)√(A² - y²) and solve simultaneously.?

An object is projected with a velocity U at an angle R to the horizontal.It just clears two walls of equal height b and at a distance of b apart. Show that 2U cosR√(U² sin²R - 2bg) = bg?

A car of mass 8000kg moves in a circular path of radius 100m with a linear velocity of 50m/s.Calculate the i) Angular velocity ii) Angle the tyre makes with the ground iii) condition for skidding for u(coefficient of friction)= 0.5?

It is known that the mass of the earth is 81 times the mass of the moon.Show that the point of weightless between the earth and the moon for a spacecraft occur at 9/10 of the distance to the moon Hint: Me/b²=Mm/(a-b)²?

1.Calculate the Support Moment of the shoulder for a worker holding a 3kg drill at shoulder height. The length of the worker’s arm is .85m. Gravity=9.81m/s²

a.What joint is the axis of rotation?

b.What is the force (N) of the load?

c.What is the distance of the load from the axis of rotation?

d.What is the Moment of force of the load on the body?

e.What is the Support Moment the shoulder must exert to avoid movement?

A particle perform simple harmonic motion in a straight line about a center C in the line.When it's distances from C are 5.0 and 13.0cm,it's velocities are 25.0 and 7.0cm/s respectively.Find the period and the amplitude of the oscillation. Hint: use V=±w(angular velocity)√(A² - y²) and solve simultaneously.?

An observer sees 2 spaceship flying apart with speed 0.99c. What is the speed of 1 spaceship viewed by other

This exercise is included to exercise your ability to communicate about kinematics in 2

spatial dimensions. This classic class of kinematics problems is known as projectile motion.

A cannon ball is fired across a level field with an initial speed of 15m/s at an angle of 30◦ above

the horizontal. Given that the acceleration of the cannon ball is 9.8 m

s2 downward for the entire

flight of the ball,

questions to be answered:

1)construct a reference frame

2)construct a vector equation describing the coordinates of the cannon ball as a function of time

3) construct a system of equations describing the coordinates of the cannon ball as a function of time

4)eliminate time from that system of equations to show that the path of the cannon ball is

parabolic

5) calculate the time at which the ball strikes the ground (using your coordinate system)

6) calculate the horizontal distance covered by the ball before it strikes the ground. This is

called the range of the projectile.

A car, with it's horn producing 480.Hz, is traveling 40.0mi/h away from you (standing still). What frequency do you hear, given the speed of sound is 1090.ft/s ?

A catapult consists of a rubber of unstretched length, 0.20m. The rubber is stretched by 0.10m by a tension of 50N. A stone of mass 0.06Kg is projected vertically upwards from the catapult after the rubber has been stretched to a total length of 0.35m. Calculate the energy stored in the stretched catapult and determine the maximum height reached by the stone.