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- Learning outcome Fundamental.8 evaluation Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy ...) will be automatically considered false. For the problem related to Fundamental.8 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. C L-m 0c B A 0A P If the cart's mass is 37-kg and it is subjected to a horizontal force of P-92-N. considering 36° and c-11, determine: the tension in cord AB. • the horizontal and vertical components of reaction on end C of the uniform 5-kg rod BC.Learning outcome Fundamental.8 evaluation Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.8 sketches of the system showing: the respective velocity and acceleration and the frame of reference considered . the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. A force P is applied at an angle 0 =53 to a 889-kg cart. The kinetic friction coefficient on wheels is 0. P . B 0.4 m 0.3 m Go B -0.2 m 0.3 m 0.08 m The acceleration of the cart is 1.6 m.s^². 1. What is the magnitude of the force P (answer on your hand-written work and in the cell below)? 2. What are the reaction at A and B?Learning outcome Fundamental.6 evaluation Fundamental.6 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy ...) will be considered as false. For the problem related to Fundamental.6 sketches of the system showing: the respective velocity and acceleration and the frame of reference considered the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. F₂ N F₂ N 20 th the man at tangan mer 3 The 14-kg crate is pulled with a force F₁-1,322-N and a force F₂-16-N tilted of 60° with the horizontal. Determine the time required to observe the crate's velocity to be equal to 11m/s
- Fundamental.9 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.9 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. The uniform 19 lb beam is initially at rest when the forces FA applied at A (on its left hand-side) is vertical and FB applied at B (on its right hand-side) forms an angle 0=56° with the horizontal. FA FB A В. B 0 12 ft Determine FA (answer in the cell bellow) and FB to make sure that: • the beam has no angular acceleration • its horizontal horizontal acceleration is 1.6-times smaller than its vertical accelerationFundamental.8 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.8 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. A force P is applied at an angle =39 to a 311-kg cart. 0.4 m 0.3 m 0.08 m The acceleration of the cart is 2 m.s-². G B 0.2 m 0.3 m 1. What is the magnitude of the force P (answer on your hand-written work and in the cell below)? 2. What are the reaction at A and B?Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.8 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. A force P is applied at an angle 0 =51 to a 869-kg cart. The kinetic friction coefficient on wheels is 0. P 0 0.4 m 0.3 m 0.08 m The acceleration of the cart is 1.2 m.s2. G B 0.2 m 0.3 m 1. What is the magnitude of the force P (answer on your hand-written work and in the cell below)? 2. What are the reaction at A and B?
- Fundamental.7 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy ...) will be automatically considered false. For the problem related to Fundamental.7 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. At the instant 0=50 degrees, the boy's center of mass G has a downward speed VG =11-ft/s. Determine: l-ft G • the rate of increase in his speed, • and the tension in each of the two supporting cords of the swing at this instant (put your answer in the cell below) The boy weights 42-lb. The rope length is 11-ft. Neglect his size and the mass of the seat and cords.Fundamental.7 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.7 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. Z Lft 0 The 6-lb man lies against the cushion for which the coefficient of static friction is 0.7. The angle the cushion has is 56° Determine the smallest angular velocity he rotates about the z-axis, at L=9-ft from G, to ensure the man will not slip.Create two or three problems and solve them yourself. Pick from the possible combinations here: COMBO A Problem 1: Rectilinear unidirectional motion Problem 2: Equilibrium model (x and y summations)
- Physics 121 Spring 2021 - Document #11: Homework #04 & Reading Assignment page 4 of 8 Problem 1: Gnome Ride - This from a Previous Exam I. A Gnome of given mass M goes on the Gnome Ride as follows: He stands on a horizontal platform that is connected to a large piston so that the platform is driven vertically with a position as a function of time according to the following equation: y(t) = C cos(wt) Here w is a constant given angular frequency, C is a given constant (with appropriate physical units) and y represents the vertical position, positive upward as indicated. Part (a) - What is the velocity of the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (b) – What is the net force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (c) – What is the Normal Force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Some Possibly Useful…Learning Goal: To use equilibrium to calculate the plane state of stress in a rotated coordinate system. In general, the three-dimensional state of stress at a point requires six stress components to be fully described: three normal stresses and three shear stresses (Figure 1). When the external loadings are coplanar, however, the resulting internal stresses can be treated as plane stress and described using a simpler, two-dimensional analysis with just two normal stresses and one shear stress (Figure 2). The third normal stress and two other shear stresses are assumed to be zero. The normal and shear stresses for a state of stress depend on the orientation of the axes. If the stresses are given in one coordinate system (Figure 3), the equivalent stresses in a rotated coordinate system (Figure 4) can be calculated using the equations of static equilibrium. Both sets of stresses describe the same state of stress. The stresses σx′and τx′y′ can be found by considering the free-body…1) The first man who studied and partially understood the kinematics of a particle falling in the earth's gravitational field was Leonardo da Vinci (1452-1519). He constructed an apparatus consisting of two vertical boards, hinged together on one side and covered with blotting paper on the inside faces. A leaking water tap lets drops fall down between the boards at presumably equal intervals of time. When a string is suddenly pulled, the boards are clapped together and the positions of the drops on the blotters can be inspected. Suppose that the vertical boards are 3 feet long and the leaking faucet is at such height and the rate of dropping is so regulated that when a drop is just coming out of the faucet, the next or second drop is just at the top of the boards and the sixth drop is at the bottom of the boards, while drops 3, 4 and 5 are between the boards. Calculate the number of drops leaving the faucet per second. ANS. 11.35 drops/sec