Question 1 Two blocks are kept in position with a cable and a pulley system. Assume that the coefficient of static friction (μs) on all surfaces is 035. Determine the angle e required for the blocks to start slipping if both blocks are identical with an own weight of W. 8°
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- Ima Peode wishes to throw a 2.8-kg pumpkin horizontally off the top of the school roof in order to hit Mr. H's car. The car is parked a distance of 13.4 m away from the base of the building below the point where Ima is standing. The building's roof is 10.4 m high. Assuming no air resistance, with what horizontal speed must Ima toss the pumpkin in order to hit Mr. H's car.Your cat "Ms." (mass 7.00 kg) is trying to make it to the top of a frictionless ramp 2.00 m long and inclined upward at 30.0 ° above the horizontal. Since the poor cat can't get any traction on the ramp, you push her up the entire length of the ramp by exerting a constant 100 N force parallel to the Part A If Ms. takes a running start so that she is moving at 2.40 m/s at the bottom of the ramp, what is her speed when she reaches the top of the incline? Use the work-energy theorem. ramp. m/sThe slope of the 4.1 kN force F is specified as shown in the figure. Express F as a vector in terms of the unit vectors i and j. Assume a = 9, b = 3. Answer: F = (i it i j) KN
- A particle of dust lands 48.8 mm from the center of a compact disc (CD) that is 120 mm in diameter. The CD speeds up from rest, and the dust particle is ejected when the CD is rotating at 98.0 revolutions per minute. What is the coefficient of static friction between the particle and the surface of the CD?A particle of dust lands 41.4 mm from the center of a compact disc (CD) that is 120 mmin diameter. The CD speeds up from rest, and the dust particle is ejected when the CD is rotating at 82.0 revolutions per minute. What is the coefficient of static friction between the particle and the surface of the CD?The heaviest watermelon weighed in at 159 kg (350.5 lbs.) and was grown by Chris Kent (USA) of Sevierville, Tennessee. Chris releases the watermelon from rest from the top of a 150.0m tall building by a small crane. We neglect air resistance. If needed, use 9.80 m/s2 for the magnitude of g. What is the time it takes to hit the ground after being released and what will be the final impact velocity when it hits the ground? Report answers to 3 sig figs.
- A 600 gg model rocket is on a cart that is rolling to the right at a speed of 2.5 m/sm/s. The rocket engine, when it is fired, exerts a 8.0 NN vertical thrust on the rocket. Your goal is to have the rocket pass through a small horizontal hoop that is 20 mm above the launch point. At what horizontal distance left of the hoop should you launch?Ali launches a marble (mass of m kg) in his marble launcher with speed of v m/s. The launcher pushes the marble to the circular wall of radius R m. The marble is in contact with the wall while moving. What is the force exerted on the marble from the wall when it reaches point A? A а. None of the above b. FN=r mg cose R EN = m mg sine R FN +mg sine R = m v2 = m R е. FN Clear my choice d.Three forces act at point O as shown. Force F3lies in the x-y plane. Select the expression that denotes a unit vector in the direction of F1 . a. - 1/3 i - 2/3 j - 2/3 kb. - 1/3 i + 2/3 j + 2/3 kc. - 1/3 i + 2/3 j - 2/3 kd. - 1/3 i - 2/3 j + 2/3 k Determine the direction angles (α, B ,y ) for F₂ . a. (103ᵒ , 72.1ᵒ , 22.6ᵒ ) b. (103ᵒ ,108ᵒ , 22.6ᵒ )c. (76.7ᵒ , 72.1ᵒ ,157ᵒ ) d. (103ᵒ , 72.1ᵒ ,157ᵒ ) Determine the angle between F1 and F3 . a. 26.0ᵒ b. 132ᵒc. 90.0ᵒ d. 0
- A 756 N person travels in his vehicle through a deep circular-shaped dip in the road. When the vehicle passes through the lowest point of the 50.0 m dip, the seat exerts an 1110 N force on the person. Determine the speed of the vehicle at this point.The boom OAB pivots about point O, while section AB simultaneously extends from within section OA. Determine the velocity and acceleration of the center B of the pulley for the following conditions: 0 = 16°, 0 = 5 deg/sec, 0 = 8 deg/sec?, 1 = 12 ft, 1 = 2.0 ft/sec, i = -5.3 ft/sec2. The quantities l and l are the first and second time derivatives, respectively, of the length I of section AB. Express your answers as vectors in the e, and ee directions. B 30' A Answers: VR = е, + i ee) ft/sec aR = i e, + i eg) ft/sec2A boy shoves his stuffed toy zebra, which has mass ?,m, down a frictionless chute, starting at a height ?D above the bottom of the chute and with an initial speed of ?.v. The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with coefficient of kinetic friction ?.μ. At what distance ?d from the bottom of the chute does the toy zebra come to rest? Express your answer in terms of the given variables and ?,g, the acceleration due to gravity.
