n object of mass m, initially hangs from a rod of length L and negligible mass that can pivot freely in the vertical plane, as shown in the figure ab hoving to the right at speed v when it strikes the hanging object and then drops straight down. The hanging object then swings upward and comes hown. What is the initial speed of the projectile v? 75A tu 2mg
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- Initially, the system of objects shown is held motionless. The pulley and all surfaces and wheels are frictionless. Let the force F→ be zero and assume that m1 can move only vertically. At the instant after the system of objects is released, find (a) the tension T in the string, (b) the acceleration of m2, (c) the acceleration of M, and (d) the acceleration of m1. (Note: The pulley accelerates along with the cart.)Hi! Please ndicate the given, diagram, FBD, and the solution with no shortcuts, Thanks! 5) A body system has three forces which are all at rest and in equilibrium. F1 is measured at 170 N whilst F3 is equal to340 N. The direction of each force is shown in the figure below. To balance the force within the body system, computefor the magnitude of F2 and its direction.Nikola Jokic is running at 8.5 m/s directly toward the basket when he jumps into the air to dunk the ball. He is only able to maintain a constant horizontal jumping velocity of 85% of his running velocity during the entire flight phase of the jump. (a) What does his vertical takeoff velocity in m/s have to be when he first leaves the ground so that his center of mass is able to achieve a maximal vertical displacement of 0.7 meters during the jump? (b) How far from the basket (measured in the horizontal direction) in meters must he start his jump so that he reaches his maximum vertical jump displacement at the same time that he reaches the basket?
- Blocks of mass m1 and m2 are connected by a light string over a pulley, as shown. A) Find an expression for the acceleration of block m2 if the pulley is massless and frictionless, and the surface is frictionless. B) repeat part a for the case where the surface has coefficient of friction µ and the pulley is a frictionless disk with mass M and radius R.2. To promote their new album, BTS decided to launch a satellite into orbit that will intercept all airwaves and play their songs worldwide. To do this, he needs to mount a 200 [kg] satellite onto a 850 [kg] rocket. It blasts off vertically from a launch pad with a constant net upward acceleration of 3.80 [m/s2]. When it has reached a height of 680 [m], the satellite was released, and the rocket blew up shortly after, due to a system failure. Assume that the satellite was not damaged after the explosion. (a) What is the maximum height that the satellite will reach above the launch pad? (b) How much time will elapse after system failure before the satellite comes crashing down the launch pad?(c) How fast will the satellite be moving just before it crashes?(Figure 1)Block 1, of mass m1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that the coefficient of kinetic friction between block 2 and the plane is μ. Find the ratio of the masses m1/m2. Express your answer in terms of some or all of the variables a, μ, and θ, as well as the magnitude of the free-fall acceleration g.
- To promote his new single “Itaktak Mo”, Joe decided to launch a satellite into orbit that will intercept allairwaves and play his song worldwide. To do this, he needs to mount his 100 [kg] satellite onto a 750 [kg]rocket. It blasts off vertically from a launch pad with a constant net upward acceleration of 3.80 [m/s2].When it has reached a height of 680 [m], the satellite was released, and the rocket blew up shortly after,due to a system failure. Assume that the satellite was not damaged after the explosion. A. What is the maximum height that the satellite will reach above the launch pad? B. How much time will elapse after system failure before the satellite comes crashing down the launchpad? C. How fast will the satellite be moving just before it crashes?Now the contestant pulls the 45-kg block of ice across the frozen lake with a rope over his shoulder as shown in the figure. The maximum coefficient of static friction between the block and ice is μs= 0.1, and the coefficient of kinetic friction is μk= 0.03. θ= 25° as shown. d) Calculate the minimum force F that must be exerted to get the block moving. e) What is the acceleration of the block once it starts to move if the force from part (d) is maintained?(Figure 1)A bob of mass mmm is suspended from a fixed point with a massless string of length LLL (i.e., it is a pendulum). You are to investigate the motion in which the string moves in a cone with half-angle θθtheta. How long does it take the bob to make one full revolution (one complete trip around the circle)? Express your answer in terms of some or all of the variables mmm, LLL, and θθtheta, as well as the free-fall acceleration ggg.
- A 2 kg box is initially at rest on the smooth horizontal surface. When the box is subjected to horizontal force P= 4 N. Compute the following: What is the resulting acceleration of the box? ______________ How fast is the box moving after 1 second? _______________ How far has it moved after 1 second? ____________________Two blocks with masses m1 = 15.0 kg and m2= 10.0 kg are connected by a massless string across a massless, frictionless pulley as shown in the figure below. Block 1 sits on a frictionless plane inclined at an angle θ = 30.0° above the horizontal. When both blocks are released, block 1 begins sliding up the plane as block 2 falls. What is the acceleration of both blocks after they have been released?A motorcycle accelerates from rest, and both the front andrear tires roll without slipping. (a) Is the force exerted by theground on the rear tire in the forward or in the backward direction? Explain. (b) Is the force exerted by the ground on the fronttire in the forward or in the backward direction? Explain. (c) If themoment of inertia of the front tire is increased, will the motorcycle’s acceleration increase, decrease, or stay the same? Explain