A block of mass m is held motionless on a frictionless plane of mass M and angle of inclination 9. The plane rests on a frictionless horizontal surface. The block is released. What is the horizontal acceleration of the plane? M
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- An object of mass m is constrained to move on a horizontal frictionless circular track of radius m starts fIrom rest at time t = 0 and thereafter is puushed by an external force with constant magnitude F, always horizontal and tangent to the track. The horizontal component of the force exerted by the track on the object is given by А. О В. F C. Ft/mR D. Ft2/mR E. F/mg ans: DA child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 9.00 m. At point A the speed of the car is 11.6 m/s, and at point B, the speed is 12.6 m/s. Assume the child is not holding on and does not wear a seat belt. B A 30° (a) What is the force (in N) of the car seat on the child at point A? (Enter the magnitude.) 205.6 ✓N (b) What is the force (in N) of the car seat on the child at point B? (Enter the magnitude.) XN 109.8 (c) What minimum speed (in m/s) is required to keep the child in his seat at point A? 9.40 m/sDetermine which df th following equations can be eigen function equation and qive tk values an sinfx) dx 2 d? sin TTX 2 dx2 a x uP +) -ih 으 ek T 2iky
- You and your family take a road trip on a long holiday weekend. In a certain section of the trip where the road is particularly uneven, the car goes over a bump that is curved downward with a radius of 16.0 m. See diagram below. The mass of the car and its passengers is 1200 kg. (a) When the car is at the highest point of the bump its speed is 7.05 m/s. Determine the magnitude and direction of the force exerted by the road on the car at this highest point. magnitude direction N |---Select-- v (b) If the speed at the highest point is above a certain maximum value the car will lose contact with the road. Calculate this maximum speed. m/sFor the conical pendulum shown below, the bob moves in a horizontalcircle of radius 0.1 m, at a constant speed v. The mass of the bob is 81 g. The cord sweeps a cone that makes an angle 31.5 o with respect to the vertical. The x and y axes are shown in the figure with positive x pointing towards the center of the circle and positive y pointing upwards. c) Calculate the tension T in the string. d) Calculate the speed v of the bob.t Three blocks are connected by massless ropes that move without slipping over frictionless pulleys; the mass of block A is 1.4 kg, the mass of block C is 2.1 kg, and the mass of block B is 6.0 kg. Each pulley can be modeled as a uniformly dense cylinder with a mass of 4.0 kg. What is the magnitude of the tension (in N) in the rope between block A and the pulley? rd A 1 B C Type your answer... Submit
- Could someone please explain this to me? Thank you!In the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal as shown in (Figure 1). At the very top of his arc, a 70 kg vaulter is moving at 2.9 m/s and is 5.5 m from the bottom end of the pole. What is the magnitude of the vertical force that the pole exerts on the vaulter? Express your answer with the appropriate units.You and your family take a road trip on a long holiday weekend. In a certain section of the trip where the road is particularly uneven, the car goes over a bump that is curved downward with a radius of 23.0 m. See diagram below. The mass of the car and its passengers is 1100 kg. (a) When the car is at the highest point of the bump its speed is 7.35 m/s. Determine the magnitude, in N, and the direction of the force exerted by the road on the car at this highest point. magnitude |N direction ---Select-- (b) If the speed at the highest point is above a certain maximum value the car will lose contact with the road. Calculate this maximum speed in m/s. m/s
- It is known that the 10 kg pipe will roll up the ramp and not slide on the ramp when P becomes sufficiently large. Using the rolling assumption, find the minimum P required to cause impending motion of the 10 kg pipe up the ramp. Note that the coefficients of friction for the block/ramp, the pipe/ramp and the pipe/block contacts are each 0.30. 18 kg block 35° 10 kg pipe B μg 0.30 for all contactsAn airplane is flying in a horizontal circle at a speed of 410 km/h (see the figure). If its wings are tilted at angle 8 - 36.0° to the horizontal, what is the radius of the circle in which the plane is flying? Assume that the required force is provided entirely by an "aerodynamic lift" that is perpendicular to the wing surface. Number UnitsMass mj on the horizontal frictionless table of the figure is connected by a string through a hole in the table to a hanging mass m2. With what angular speed w must mị rotate in a circle of radius r if m2 is to remain hanging at rest? Find an expression for w in terms of m1, m2, r, and g. m2 Note that it may not be necessary to use every variable. Use the following table as a reference for each variable: For Use m¡ m_1 m2 m_2 symbolic expression w P Type here to search 100% 5°C @ 4 3 D M