Mechanics | Relativity Answers

if the velocity of a particle is defined by v = (2t + 1)i +3j fps, and is position vector at t = 1 sec is t = 4i+ 3j ft, determine the path of the particle in terms of its x and y coordinates.

Give a reason why it is much more useful to plot a graph of acceleration against the inverse of mass, than it is to plot a graph of acceleration against mass.

An object oscillates with simple harmonic motion along the x-axis, its position varies with time. According to the equation. x(t) = 4 Cos(πt + π/3 ). The time is given in a sec and the angles are in radian. a) Draw a free hand wave diagram. b) Determine the amplitude, frequency, and time period of the motion. c) Calculate the velocity and acceleration of the object at any time ‘t’. d) Using the result of part ‘b’,find velocity and acceleration at t = 5 sec.

An object oscillates with simple harmonic motion along the x-axis, its position varies with time. According to the equation. x(t) = 4 Cos(πt + π/3 ). The time is given in a sec and the angles are in radian. a) Draw a free hand wave diagram. b) Determine the amplitude, frequency, and time period of the motion. c) Calculate the velocity and acceleration of the object at any time ‘t’. d) Using the result of part ‘b’,find velocity and acceleration at t = 5 sec.

A 225m long, 300mmϕ concrete pipe and a 400m long, 400mmϕ concrete pipe are connected in series. What is the diameter of a 625m long equivalent pipe?

What is the power available in a weir jet having a cross-sectional area of 0.005m^2 with a velocity of 25.80m/sec?

What is the theoretical horsepower required to pump water at 6.30liters/second from a large reservoir to the surface of another reservoir 120m higher?

A 30 kg block is pushed up an inclined plane at an angle of 25° with a constant

velocity of 4 m/s by a force of 280 N parallel to the plane. What is the coefficient of

kinetic friction between the block and the plane?

A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is displaced laterally by 0.1 mm by a force of 2 x 106 dynes acting parallel to the surface, calculate the shear modulus of the material

Jamylla and Janylla are on a hike. Both hikers begin a trip by walking, the first leg A: 2.65 km, 140° from their base camp, on their second leg B: 4.77 km, 252° and to complete their final leg C: 3.18 km, 332°. What is the magnitude and direction of their final position from their base camp? Apply polygon method and component method and compare their results. (calculus based)