Pick a topic on the left, open a problem and check the solution hint by hint.
A person of mass $m = 70$ kg stands on the floor of an elevator cabin. The elevator moves with an acceleration $a = 2$ m/s² directed: 1) upward; 2) downward (see the figure). Find the weight of the person in each case. Take $g = 10$ m/s².
Two blocks of masses $m_1 = 2$ kg and $m_2 = 3$ kg are joined by a light inextensible thread and lie on a smooth horizontal table. A horizontal force $F = 20$ N is applied to block $m_2$ (see the figure). Find the acceleration of the blocks and the tension in the thread.
A block of mass $m = 10$ kg lies on a horizontal table. It is pulled by a force $F = 50$ N directed at an angle $\alpha = 30°$ above the horizontal (see the figure). The coefficient of friction between the block and the table is $\mu = 0.2$. Find the acceleration of the block. Take $g = 10$ m/s².
A block of mass $m = 4$ kg is pulled at constant speed up an incline of angle $\alpha = 30°$ by a force $F$ directed along the plane (see the figure). The coefficient of friction between the block and the plane is $\mu = 0.3$. Find the force $F$. Take $g = 10$ m/s².
A block of mass $m_1 = 3$ kg lies on a horizontal table and is joined by a light inextensible thread over a fixed pulley to a weight of mass $m_2 = 2$ kg (see the figure). The coefficient of friction between the block and the table is $\mu = 0.1$. Neglect the masses of the pulley and the thread and…
A load of mass $m = 4$ kg is lifted vertically upward with an acceleration of $a = 2$ m/s². Find the tension in the string that the load hangs from. Neglect air resistance; $g = 10$ m/s².
Two loads of mass $m_1 = 2$ kg and $m_2 = 3$ kg are connected by a single string passing over a massless, inextensible pulley (an Atwood machine). Find the acceleration of the system. Neglect air resistance; $g = 10$ m/s².
A resultant force $F = 10$ N acts on a body of mass $m = 2$ kg. Find the acceleration of the body.
A block of mass $m = 5$ kg slides down an inclined plane that makes an angle $\alpha = 30°$ with the horizontal. The coefficient of friction between the block and the plane is $\mu = 0.2$. Find the acceleration of the block. The acceleration due to gravity is $g = 10$ m/s².