The 8-kg sack slides down the smooth ramp. It has a speed of 1.5 m/s when y = 0.26 mm. Suppose that y(x)=0.26exm , where x is in m. (Figure 1)
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The 8-kg sack slides down the smooth ramp. It has a speed of 1.5 m/s when y = 0.26 mm. Suppose that y(x)=0.26exm , where x is in m. (Figure 1)
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- 14 - Masses m1=1kg and m2=2kg are connected to each other by a light rope passing through a frictionless pulley. While mass m1 is connected to a spring with constant k=100 N/m in the horizontal plane with a friction coefficient of µ=0.4, mass m2 hangs freely. It is released when the spring is at its normal length. Calculate the distance h that the m2 mass will descend the most.The 2-Mg truck is traveling at 15 m/s when the brakes on all its wheels are applied, causing it to skid for a distance of 10 m before coming to rest. (Figure 1) Part A: Determine the constant horizontal force developed in the coupling C during this time. The total mass of the boat and trailer is 1 Mg. Express your answer to three significant figures and include the appropriate units. Part B:An automobile of mass 1000 kg is driven down a 5o incline at a speed of 72 km/h when the brakes are applied causing a constant total breaking force of 5000 N. Determine the distance traveled by the automobile as it comes to a stop. Also Draw Free body diagram
- The 18 000-kg F-35B uses thrust vectoring to allow it to take off vertically. In one maneuver, the pilot reaches the top of her static hover at 200 m. The combined thrust and lift force on the airplane applied at the end of the static hover can be expressed as F = (44t + 2500t2)i + (250t2 + t + 176 580)j, where F and t are expressed in newtons and seconds, respectively. Determine how long it will take the airplane to reach a cruising speed of 1000 km/hr (cruising speed is defined to be in the x-direction only).The force F, acting in a constant direction on the 22-kg block, has a magnitude that varies with the position s of the block. When s = 0 the block is moving to the right at v = 6 m/s. The coefficient of kinetic friction between the block and surface is μk= 0.3. Determine how far the block must slide before its velocity becomes 15 m/sm/s. Express your answer to three significant figures and include the appropriate units. Hint 1for Part A. How to approach the problem Use the principle of work and energy for the particle, which states that the particle's initial kinetic energy plus the work done by all the forces acting on the particle as it moves from its initial to its final position is equal to the particle's final kinetic energy. Note that besides force FF shown in the figure, the friction force acts on the block during its motion. Hint 2for Part A. How to find the friction force The friction force is directly related to the normal reaction, which in turn equals…The force F, acting in a constant direction on the 22-kg block, has a magnitude that varies with the position s of the block. When s = 0 the block is moving to the right at v = 6 m/s. The coefficient of kinetic friction between the block and surface is μk= 0.3. Determine how far the block must slide before its velocity becomes 15 m/sm/s. Express your answer to three significant figures and include the appropriate units. Hint 1for Part A. How to approach the problem Use the principle of work and energy for the particle, which states that the particle's initial kinetic energy plus the work done by all the forces acting on the particle as it moves from its initial to its final position is equal to the particle's final kinetic energy. Note that besides force FF shown in the figure, the friction force acts on the block during its motion. Hint 2for Part A. How to find the friction force The friction force is directly related to the normal reaction, which in turn equals…
- The 150-g hockey puck initially rests on a surface at A with the spring compressed by 0.2 m, as shown. The kinetic friction coefficient between the surface and the puck is ?? = 0.1. The puck is in contact with the spring but is not attached to it. Subsequently, the spring is released. Determine the minimum stiffness of the spring so that the puck just clears the wall at B. Use any method(s) that you likeThe elastic cord has an unstretched length l0 = 1.5 ft and a stiffness k = 12 lb/ft. It is attached to a fixed point at A and a block at B, which has a weight of W = 2.2 lb. The block is released from the rest from the position shown. After leaving the guide, it is launched onto the smooth horizontal plane. (Figure 1) (A) Determine its speed when it reaches point C after it slides along the smooth guide. Express your answer to three significant figures and include the appropriate units. (B) Will the angular momentum of the block about point A be conserved after it passes point C? yes or no. (C) Calculate the magnitude of the angular momentum of the block about point A, at any instant after it passes point C. Express your answer using three significant figures. (D) Determine if the cord becomes unstretched. The cord will not become unstretched The cord will become unstretchedThe elastic cord has an unstretched length l0 = 1.5 ft and a stiffness k = 12 lb/ft. It is attached to a fixed point at A and a block at B, which has a weight of W = 2.2 lb. The block is released from the rest from the position shown. After leaving the guide, it is launched onto the smooth horizontal plane. (Figure 1) (A) Determine its speed when it reaches point C after it slides along the smooth guide. Express your answer to three significant figures and include the appropriate units. (B) Will the angular momentum of the block about point A be conserved after it passes point C? yes or no.
- A student pilot taxiing a Cessna 172 - Skyhawk is brought to a full stop with a total distance of four hundred fifty meters from a speed of 21 knots. (a)Determine the frictional energy absorbed by the breaks. (b) Consider that the stopping force is brought by a constant force resisting the motion, what is the force? Note: The kinetic energy of rotation of the wheel is negligible. Given: mpilot = 170lbs mairplane = 757 kgWhat is the tension in the cord that connects the two blocks? What is the coefficient of kinetic friction that one block exerts on the other?Determine the magnitude of the vertical reaction at A if P = 364 N and Q = 1536 N. Let x = 2.54 m, y = 2.5 m, and z = 1.8 m. Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the vertical reaction at A : use U if upward, D if downward.