a) Find the distance ℓℓ between the point at which the ball lands on the ground and the base of the table (see the figure below). Your answer may depend on v0v0, xx, gg, hh and aa. b)For what value of xx is ℓℓ maximum?

The conveyor belt shown below is inclined at an angle of 25 degrees. A 3kg package B is placed on the conveyor belt at the position shown with an initial velocity of 0 m/s with respect to the ground. The belt is moving quite fast, and as one could imagine the package is initially slipping, but it's accelerating at a rate of 3.05 m/s^2 until it catches up to the velocity of the belt. If this is the case, find the coefficient of friction between the belt and the package.

Q1 A balloon is rising vertically above a level, straight road at a constant rate of 1 ft sec. Just when the balloon is 65 ft above the ground, a bicycle moving at a constant rate of 17 ft sec passes under it. How fast is the distance s(t) between the bicycle andoballoon increasing 3 sec later?

hi Vo Vo V₁ = R - he A ball will be thrown from the initial position (pictured in green) to strike a target (pictured in red) while avoiding contact with the ceiling. The initial height is hi - 5 m, the ceiling is he - 25 m tall, and the target = = is ht = 20 m above the ground. The target is R = 40 ht m away, horizontally. Find the minimum initial speed V₁ that can achieve this m/s

A bead M slides without friction on a rigid wire (T). This rigid wire rotates around the Z axis of a fixed reference frame with constant angular velocity vector . A rotating reference frame is attached to the rigid wire (T). a) Determine the velocity and acceleration vectors of the bead M with respect to the rotating frame given that its position vector is: where is positive constant.

A shaft 5.0 cm in diameter and rotating at 2,400 rpm, comes to a full stop in 6.0 seconds. It slows down to 1200 rpm during the first 2.0 seconds and comes to a full stop at the end of the sixth second. The acceleration is constant during both segments of the motion. Determine: a.The total number of turns it completes during the 6.0 seconds it is slowing down, b.the distance traveled by a point on the rim of the shaft during this time, and c.the average acceleration during the first 2.0 seconds in rad/s2.

You have your bicycle upside down while you adjust the chain. The chain is wound around the rear wheels small gear, which has a radius of 4.0 cm. At the pedals, the chain is wound around the large gear, which has a radius of 11.0 cm. The radius of the rear wheel is 35.0 cm. You spin the pedals initially so they finish two revolutions in 1.0 s, starting from rest. Assume constant acceleration. (a) Find the angular acceleration of the rear wheel in rad/s2. (b) Find the magnitude of the total acceleration of a point at the edge of the small gear at the end of 1.5 s (the sum of the radial and tangential accelerations). (c) What is the tangential acceleration for that point during the first second? (d) Calculate the linear acceleration of the chain.

Needs Complete typed solution with 100 % accuracy.

P.2) The lower link of the given mecha- nism is constrained to move horizontally with a velocity VA = 10i ft/s. At the depicted instant, A is located directly beneath the fixed pivot point C, and links AB and BC are orthogonal and of equal length, "B/A = 1.2 ft. Find w and VB. B/C A OB j

The plot below shows the acceleration of a mass placed at the end of a beam as it oscillates: 20 Which we model as: Acceleration (m/s²) 15 10 5 0 -5 -10 -15 -20 0.5 1 Wd 1 1.5 1 2 = wn√1 y(t) = Ae-3wnt sin(wat) y(t) = Ae-Ct sin 1 2.5 Time (s) = 2π T 2π T 1+ 3 2π We will use MATLAB to find the decay constant C and the period T. We can then use these to calculate the damping ratio and the natural frequency @n, using: 3.5 T 4 2 and C = {wn O data zeros peaks decay fit 4.5 Using the information above, derive the expression shown below for the damping ratio 3. 1 3 = 5