3. The 4 kg box shown in the figure start from rest at t = 0 in which the friction is negligible. Determine the velocity at t = 1 sec when the box moved from its initial position. (m/ sec.) %3D 9.81 N 4 kg
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- The lower block of mass m2 = 3.2 kg is pulled on by a rope with a tension force of 28 N. The upper block has mass m1 = 1.8 kg. The coefficient of kinetic friction between the lower block and the surface is 0.32. The coefficient of kinetic friction between the lower block and the upper block is also 0.32. What is the acceleration of the 3.2 kg block?5) A block weighing 50 lb is shown on an inclined surface. The block is released from rest at the po- sition shown. The spring has a spring constant of k = 10 lb/in., and the coefficient of friction be- tween the block and the incline is 0.3. What is the maximum compression of the spring? 6) For the system in Question 5, what is the velocity of the block the moment it leaves the spring? 50 lb 10' 30° K www. Page 1 of 2Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume the box is sliding downhill. a. What is the magnitude of the acceleration of the box? (same as Problem 3b)b. If the hill is 5m tall, what is the Mary's speed when she reaches the bottom?c. At the bottom of the hill, the ground becomes level, but the coefficients offriction do not change. How far will Mary slide before she comes to a stop?
- 6. A car weighing 5000-kg is on a banked curve as shown. The coefficient of friction between the road and the tire of the car is 0.50. It is rounding the curve of 200 m radius at maximum speed. Determine the maximum speed and the frictional force acting on the wheels. 3 D 11 2.5A skier of mass 'M' Kg starts fron rest down the hill inclined at angle 0', He skies distance 'D' meter down the hill and then coasts tor *X' meter along level snow uptil he stops. Find the coefficient of kinetic friction between the skier and the snow.Q1. m-1 kg m,=4 kg The mechanism set up with m,, m, and weightless pulleys is as shown in the figure. Then, the masses are released. Static and kinetic friction between the inclined plane and m, are 0.6 and 0.5 respectively. What are the accelerations of m, and m,? (g = 10 m / s². Frictions and mass of the pulley are ignored.) Q2. 300 m/s .*........ yatay 100 m/s 320 m x=? A plane is flying horizontally at an altitude of 320 m with 300 m/s speed. It launches its bomb with 100 m/s speed relative to the plane as shown. How many meters away from the castle should the plane launch its bomb to hit the castle. (g=10 m/s², sin370=0.6; cos37°=0.8) Q3. 2 kg The object in the frictionless cone in the figure is making a uniform circular motion. Calculate, a) the normal force that the cone exerts on the object, b) centripetal force applied to the body, c) Find the speed of the object.
- The blocks A and B in the figure weigh 60kg and 10kg respectively, they start from rest on a surface where the coefficient of friction is A and the surface is uk = 0.2; Determine the modulus of tension in the rope at block B and the modulus of acceleration of block A after it has moved 3m down the incline plane. consider the mass of the pulleys and ropes negligible1. Parcels are moved via conveyor with velocity vo down to a colinear incline that is static at point A where sliding begins. The parcels eventually fall off at point B, which is 7.0 m past A. If the coefficient of kinetic friction on the incline is 0.40, find the velocity of the conveyor belt, vo, such that the parcels have zero velocity at point B. 7m 15°A brake test for an automobile is conducted. During the brake test, the automobile of mass 1800 kg (including driver) is travelling at the speed of 110 km/hr as it passes point A, and the car descends a hill of 1in 2 (Sine). The driver applies brakes so as to bring the car speed at B to 50 km/hr. The total frictional resistance to motion is 235 N. Using Work-Energy Method, Calculate the following required to bring the car to 50 km/hr from 110 km/hr in 210 m (From Point A to Point B) B Determine the Value of Total Energy about Point A TE= Determine the Value of Total Energy about Point B TEb= Determine the Value of Breaking Force needed Fb= N A
- - H1. A wooden block of mass m is pushed over a floor in a straight line in the x direction with a constant velocity vo > 0. At time t = 0, when the block is at position x = 0, it is no longer pushed and the block experiences only a constant sliding friction force F in the negative x-direction until it comes to rest. (i) Write down the equation of motion of the block for t > 0. Calculate the time, t, at which the block comes to a stop and also find the distance, d, travelled by the block from the time when the pushing is stopped to the time when it comes to rest. (ii) Calculate the work done by the friction force from x = 0 to x = d, and then show that it is equal to the change in the kinetic energy of the block.Task 2 (a) The sports car, having a mass of 1900 kg, travels horizontally along a 20° banked track which is circular and has a radius of p= 100 m. If the coefficient of static friction between the tires and the road is 4, = 0.2, determine the maximum constant speed at which the car can travel without sliding up the slope. Neglect the size of the car. (b) Find all the forces on the car of part (a). (c) If the car is treated as a rigid body, draw the free-body-diagram. Task 3 Provide a practical application of three interconnected rigid bodies such that two of them rotate about a fixed axis and the third one has translational motion. Assume the dimensions of the three bodies, and speeds and accelerations of the two rotating rigid bodies. Find the speed and acceleration of translating rigid body.Q3. In the position shown in Figure, the system is in the rest. Cylinder B is considered solid and moves in frictionless bearings. The spring is originally unstretched and has a modulus of 10000 N/m. Assuming that the coefficient of friction is 0.25, what will be the speed V of block A after dropping 20 cm. k=10000 N/m mc= 40 kg A=0.25 20 cm mB= 40 ka לדלק RB= 20 cm mA= 100 kg