Exercise :: Kinematics of Particle (KOP) - General Questions

Kinematics of Particle (KOP) - General Questions

16.

The slotted link is pinned at O, and as a result of rotation it drives the peg P along the horizontal guide. Compute the magnitude of the velocity and acceleration of P along the horizontal guide. Compute the magnitudes of the velocity and acceleration of P as a function of _{} if _{} = (3t) rad, where t is measured in seconds.

A sled is traveling down along a curve which can be approximated by the parabola y = _{}x^{2}. When point B on the runner is coincident with point A on the curve (x_{A} = 2m, y_{A} = 1 m), the speed if B is measured as v_{B} = 8 m/s and the increase in speed is dv_{B}/dt = 4 m/s^{2}. Determine the magnitude of the acceleration of point B at this instant.

A ball thrown vertically upward from the top of a building with an initial velocity of v_{A} = 35 ft/s. Determine (a) how high above the top of the building the ball will go before it stops at B, (b) the time t_{AB} it takes to reach its maximum height, and (c) the total time t_{AC} needed for it to reach the ground at C from the instant it is released.

When the motorcyclist is at A he increases his speed along the vertical circular parth at the rate of v = (0.3t)ft/s^{2}, where t is in seconds. If he starts from rest when he is at A, determine his velocity and acceleration when he reaches B.

A ball is thrown downward on the 30° inclined plane so that when it rebounds perpendicular to the incline it has a velocity of v_{A} = 40 ft/s. Determine the distance R where it strikes the plane at B.