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A stone tablet of 6 kg on a 30° incline is held by a force of 5 N up and parallel to the incline. If the coefficient of kinetic friction between block and incline is 0.1
Solve for the tablet's acceleration.
Draw a representative figure.
A bag with a mass of 2 kg hangs by a chord attached to a wall. The chord is pulled aside with a horizontal force F such that it makes an angle of 30° with the wall.
Determine the tension of the chord and the force pulling on it.
A baseball player bats the ball at 60° with the ground at a velocity of 50m/s-1. A fielder immediately runs in the opposite direction at a speed of 7m/s-1 in time to catch the ball.
Calculate the distance travelled by the fielder.
A box is pulled on level ground by a force of 40 N that makes 45° with the ground.
Find a) the force that tends to lift the box, and b) the force that tends to pull the box forward.
A rope tied vertically to the ceiling is pulled to the right by a force perpendicular (90°) of the rope. The rope is tied to a wall with the rope forming a 120° angle counter-clockwise from the vertical rope.
Find the tension of the rope is F = 100 N
The value of time for 20 oscillations are obtained 16.1 15.9 16.0 16.2 15.8 Determine the period of the pendulum
A box of weight X is allowed to slide an incline of a°. If the coefficient of kinetic friction between block and incline is 0.1
Find the acceleration down the incline
The final answer should be in the format of "tolerance of ± in the third significant digit."
1.The slotted arm OA forces the small pin to move in the fixed spiral guide defined by r = Kθ where θ is measured in radians and the constant K = 3.9 m. Arm OA starts from rest at θ = 31° and has a constant counterclockwise angular acceleration θ¨= 2.2 rad/s2. Determine the magnitude a of the acceleration of the pin P when θ = 148°.
a = _ m/s2
The final answer should be in the format of "tolerance of ± in the third significant digit."
1.The piston of the hydraulic cylinder gives pin A a constant velocity v = 3.6 ft/sec in the direction shown for an interval of its motion. For the instant when θ = 67°, determine r˙, r¨, θ˙, and θ¨ where r = line OA. The distance of the line A to line B is 6.8”.
r˙ = _ ft/sec
r¨ = _ ft/sec2
θ˙ = _ rad/sec
θ¨ = _ rad/sec2
The final answer should be in the format of "tolerance of ± in the third significant digit."
1.The drag racer P starts from rest at the start line S and then accelerates along the track. When it has traveled 87 m, its speed is 39 m/s and it is accelerating forward at 10.1 m/s2. For that instant, determine the values of r¨ and θ¨ relative to axes fixed to an observer O in the grandstand G as shown.
28 meters from point O ( it is the base of the triangle)
r¨ = ____ m/s2
θ¨ = _____ rad/s2
