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A spring AB is attached to a support at A and to a collar. The unstretched length of the spring is l. knowing that the collar is released from rest at
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Vector Mechanics for Engineers: Dynamics
- A block with some mass m is connected to a string that is attached to the ceiling. The block on the end of the string is going around a circular path with a constant radius r and constant speed. Applying Newton's second law to the x component of force seperately in order to find the expressions for the tension of the string in terms of mass m, angle θ, and constant g. The x direction includes centripetal acceleration.arrow_forwardQ6. As shown in the image below, two objects, A and B, are connected using the cable and pulley system. (The cable and pulley system is friction-less and weight-less.) If at this moment the acceleration of object Bis downward 2.3 m/s², determine the acceleration of object A (in m/s²2) at this moment. In this problem, downward motion is considered positive, and in your answer, negative sign must be included if the motion of A is upward. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. A B VBarrow_forwardQ4(a) A car starts from rest and travels with an acceleration of 0.3 m/s² for 150 seconds. After that, it travels with same speed for another 100 seconds then brakes are applied and it stops in 50 seconds at the next stop. Determine the total distance travelled by the car. (b) If the car is travelling with a uniform speed of 25m/s from start to end, critically evaluate its effect on the total time refer to Question Q4(a).arrow_forward
- Two bodies of masses 10 kg and 15 kg are hung from the ends of an extensible rope passing over a frictionless pulley. If masses of both the bodies are doubled, the acceleration of the system will also be doubled. Select one: O True O Falsearrow_forward2. The horizontal rod OA rotates about a vertical shaft according to the relation 6 = 3t°, where 0 and t are expressed in rad/s and seconds, respectively. A 500 g collar B is held by a cord with a breaking strength of 37 N. Neglecting friction, determine, immediately after the cord breaks: a. How long it takes for the cord to break b. The relative acceleration of the collar with respect to the rod. c. The magnitude of the horizontal force exerted on the collar by the rod. Note: the horizontal force corresponds to ég direction d. When the collar breaks free from its initial position of 0.5 m and hits the stop at A which is 0.62 m from point O, calculate the angular velocity [rad/s] at this state. *Use initial angular velocity from when cord broke in order to solve for final angular velocity using conversation of angular momentum. 0.5 marrow_forwardTwo masses m₁ = 4.6kg and m2 = 10.5kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. If the system is released from rest, determine the magnitude of the acceleration of the blocks. Take g = 9.81m/s² and express your answer using one decimal place in units of m/s². u Answer: |M₂arrow_forward
- 2. In the system of connected bodies. The coefficient of kinetic friction is 0.20 under bodies B and C. determine the acceleration of each body and the tension in the cord supporting A.arrow_forwardEXERCISE 2.53 Collar C is pushed along the guide bar defined by y= 2(1-0.25x²), where x and y have units of meters. The angular speed of arm AB that actuates the motion is the constant value = 20 rad/s, so = ct. Determine the forces exerted on the collar by arm AB and the guide bar at x = 1 m. The mass of the collar is 2 kg, and gravitational effects are ignorable. (Hint: use Cartesian and polar coordinates to solve the problem.)arrow_forwardA particle of mass 2.6 kg is attached to two cables CB and CA as shown. it revolves in a horizontal circle of radius 1.3 m at a constant speed of 8.45 m/s.arrow_forward
- A block of mass m1 is located on an inclined plane θ and attached by a rope passing over a pulley with a weight of mass m2. If m1 > m2 find the tension and the acceleration.arrow_forwardFind the magnitude and direction of the velocity at point B.arrow_forwardPlease answer the following questionarrow_forward
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