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2.1 Time-dependent force* A 5-kg mass moves under the influence of a force F = (4r²î–3tj) N, where t is the time in seconds (1 N = 1 newton). It starts at rest from the origin at t = 0. Find: (a) its velocity; (b) its position; and (c) rx v, for any later time. %3D

2.1 Time-dependent force* A 5-kg mass moves under the influence of a force F = (4r²î–3tj) N, where t is the time in seconds (1 N = 1 newton). It starts at rest from the origin at t = 0. Find: (a) its velocity; (b) its position; and (c) rx v, for any later time. %3D

College Physics
College Physics
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Publisher:Raymond A. Serway, Chris Vuille
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3G % 10 تحديد نص > Problems For problems marked *, refer to page 520 for a hint, clue, or answer. 2.1 Time-dependent force* A 5-kg mass moves under the influence of a force F = where t is the time in seconds (1 N = 1 newton). It starts at rest from the origin at t = 0. Find: (a) its velocity; (b) its position; and (c) rx v, for any later time. (4i-3tî) N, Two blocks and string* The two blocks M1 and M2 shown in the sketch are connected by a string of negligible mass. If the system is released from rest, find how far block M1 slides in time t. Neglect friction. 2.2 2.3 Two blocks on table Two blocks m and m2 are in contact on a horizontal table. A hor- izontal force is applied to one of the blocks, as shown in the draw- ing. If m = 2 kg, m2 = 1 kg, and F = 3 N, find the force of contact between the two blocks. 2.4 Circling particle and force Two particles of mass m and M undergo uniform circular motion about each other at a separation R under the influence of an attrac- tive constant force F. The angular velocity is w radians per second. Show that R (F]w?)(1/m+ 1/M). 2.5 Concrete mixer* In a concrete mixer, cement, gravel, and water are mixed by tum- bling action in a slowly rotating drum. If the drum spins too fast the ingredients stick to the drum wall instead of mixing. Assume that the drum of a mixer has radius R = 0.5 m and that it is mounted with its axle horizontal. What is the fastest the drum can rotate without the ingredients sticking to the wall all the time? Assume g = 9.8 m/s?. ->
Transcribed Image Text:3G % 10 تحديد نص > Problems For problems marked *, refer to page 520 for a hint, clue, or answer. 2.1 Time-dependent force* A 5-kg mass moves under the influence of a force F = where t is the time in seconds (1 N = 1 newton). It starts at rest from the origin at t = 0. Find: (a) its velocity; (b) its position; and (c) rx v, for any later time. (4i-3tî) N, Two blocks and string* The two blocks M1 and M2 shown in the sketch are connected by a string of negligible mass. If the system is released from rest, find how far block M1 slides in time t. Neglect friction. 2.2 2.3 Two blocks on table Two blocks m and m2 are in contact on a horizontal table. A hor- izontal force is applied to one of the blocks, as shown in the draw- ing. If m = 2 kg, m2 = 1 kg, and F = 3 N, find the force of contact between the two blocks. 2.4 Circling particle and force Two particles of mass m and M undergo uniform circular motion about each other at a separation R under the influence of an attrac- tive constant force F. The angular velocity is w radians per second. Show that R (F]w?)(1/m+ 1/M). 2.5 Concrete mixer* In a concrete mixer, cement, gravel, and water are mixed by tum- bling action in a slowly rotating drum. If the drum spins too fast the ingredients stick to the drum wall instead of mixing. Assume that the drum of a mixer has radius R = 0.5 m and that it is mounted with its axle horizontal. What is the fastest the drum can rotate without the ingredients sticking to the wall all the time? Assume g = 9.8 m/s?. ->
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