A box is moving in the i direction with a constant acceleration. A mass, suspended from the top of the box by a linear spring (unstretched length of zero), is moving to the right as well and isn't moving with respect to the box (the spring isn't changing in length and θ is constant). The force exerted by the spring on the mass is given by its spring constant k times its extension. For the present case, the spring is extended 5 cm from its rest length, k = 30 N/m and m = 0.15 kg. What is the angle θ equal to, and what is the acceleration of the box? You can solve for this without using the computer

. An object of mass 12 kg is suspended from a pulley which has a mass of 6 kg and a radius of rotation of 0.25 m. If at that time the pulley rotates with an angular velocity of 5 rad/s, we want to know that when the object moves down a distance of 2 m, then at what speed is the pulley rotating? If the friction force on the pulley bearing produces a moment of resistance of 2 N-m 12 kg 0.3 m

5. A simple pendulum at the UCR department of physics and astronomy has a length of 20 m, and the acceleration due to gravity at this location is measured to be 9.803 m/s². Calculate the period of the pendulum.

Rod OA rotates counterclockwise at a constant angular rate 0-4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r= (1.6 cos 6) m. Both collars have a mass of 0.65 kg. Motion is in the vertical plane. (Figure 1) Figure r=1.6 cos 9. 0-4 rad/s 0.8 m 1 of 1 Part A Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant 0=45 Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) F= Value Submit μÁ Part B Previous Answers Units X Incorrect; Try Again; 5 attempts remaining Determine the magnitude of the force that OA exerts on the other colar at the instant @-45. Express your answer to three significant figures and include the appropriate units. View Available Hint(s)

Blocks A and B shown in the figure have masses of 5 kg and 10 kg respectively.If the pulley is treated as a 3 kg solid disk with a 15 cm radius, determine the acceleration of the block A.  Disregard the rope mass and any slip on the pulley.Consider that the moment of inertia of the pulley is given by Ip = (1/2)mr² in which m is the mass of the pulley and r is of radius the pulley.

1. Two blocks are connected by a pulley system shown in the figure below. Neglect friction between the block on the left and the ramp sloped at angle 0. Suppose that the block on the left has mass m, and that the block on the right is moving downward at a constant speed v. m Given m, 0, and v, answer the questions below. (a) Find the mass of the block on the right? (b) Find the velocity of the block on the left. (c) If the block on the right was moving at a constant speed v upward, instead of downward, how would your answer to Question la change?

I Review | Constants Calculate the work done on the block by the spring as the block falls an arbitrary distance z. Express your answer in terms of the variables a, m, x, and the acceleration due to gravity g, if needed. Consider a hanging spring of negligible mass that does not obey Hooke's law. When the spring is pulled downward by a distance r, the spring exerts an upward force of magnitude ar, where a is a positive constant. Initially the hanging spring is relaxed (not extended). We then attach a block of mass m to the spring and release the block. The block stretches the spring as it falls (Figure 1). (a) How fast is the block moving when it has fallen a distance z, ? (b) At what rate does the spring do work on the block at this point? (c) Find • View Available Hint(s) the maximum distance rz that the spring stretches. (d) Will the block remain at the point found in part (c)? W. Vspring = Submit Part D Calculate the work done on the block by any other forces as the block falls an…

A structure has a mass of 10 kip/g and a stiffness of 10 kip/in. The acceleration of gravity, g, is 386.1 in/s2. Provide the period of the structure in seconds.

Please answer quick you are in a bumper car with a total mass of 200.0kg your friend is also in a bumper car with a total mass of 200.0kg.You are moving to the right at 1.00m/s. Your friend is moving to the left at 0.500m/s. Your car hits a spot on your friends car that has no bumper. Your bumper acts as a spring with a spring constant of 2.00x10^4N/m. Determine the velocity of your car when the bumper has raced a maximum compression of 0.0700m.Assume friction is negligible.

38. Calculate the initial velocity of a 1.00 kg artillery shell that is moving north when it explodes into three fragments: 0.200 kg moving 500 m/s east, 0.500 kg moving 566 m/s north east, and a third piece moving 1000 m/s. 39. A 300-gram model airplane is flying 15.0 m/s straight north when a gust of wind applies a force of 75.0 N west on the airplane for a time of 80.0 ms. Calculate the velocity the airplane will have as a result of the gust of wind.